Will Grigg opened the scoring for Chesterfield after 53 minutes as he poked the ball in from a yard out and Banks doubled their advantage three minutes later by curling into the top corner.
Banks rounded off a smart counter attack to make it 3-0 and seemingly put the game to bed after 68 minutes.
But Eastleigh roared back as Paul McCallum headed home from close range after 75 minutes.
And the visitors were back in it when Scott Quigley fired into the bottom corner 10 minutes from time, but they were unable to force a leveller.
The Spireites, having lost four consecutive games since sealing promotion back to the English Football League last month, were 2-0 ahead after half an hour.
Joe Quigley’s fine work helped Liam Mandeville poke in from close range in the 28th minute before the forward got on the scoresheet himself shortly after, firing home after a goal-mouth scramble.
However, Maidenhead came out firing after the interval and were level courtesy of two goals in three minutes, with Tristan Abrahams slotting into an empty net after Harry Tyrer parried Reece Smith’s shot and then Kevin Lokko heading in.
But after Tom Naylor had a goal disallowed and Armando Dobra hit the post, Chesterfield finally found a winner at the death when Banks hammered in.
Josh Parker powered home a penalty after 30 minutes to open the scoring.
Parker went close to a second with a fizzing free-kick that cannoned off the crossbar.
Substitute Olly Sanderson struck twice in the final 10 minutes to secure the three points, while Fylde’s best chance saw Nick Haughton’s free-kick well saved by Chris Haigh.
The hosts opened the scoring, with Olomola opening his Bromley account just six minutes in.
Oxford soon struck back with a Josh Parker penalty levelling the scores midway through the first half.
Olomola put the home side back in front after 65 minutes and Louis Dennis put the score beyond doubt at the death.
Devante Rodney came close on the half-hour mark for the Dale but goalkeeper Grant Smith was able to hold the ball and Deji Elerewe had a chance for the hosts, having his headed effort saved.
Rodney had chances early in the second half but Smith made two good saves before Ryan East blasted an effort wide, but Bromley found the breakthrough in the 80th minute as Olomola fired the ball into the top corner.
They nearly had a second when Louie Moulden saved from Michael Cheek and three points sees the Ravens sit eight points off league leaders Chesterfield.
Angelo Balanta’s double in the 24th and 72nd minutes looked set to help the visitors respond to Saturday’s home defeat to Aldershot.
Fylde, who broke a four-game losing streak by winning at Southend at the weekend, grabbed a 17th-minute lead through Danny Whitehead.
But after Balanta’s double it fell to Evans to fire home late on and secure a share of the points.
Wanderers were forced into a couple of early changes through injuries to captain Barry Fuller and then forward Harry Ottaway before the visitors almost took the lead in the 28th minute when Josh Parker’s effort was blocked on the line.
Oxford eventually broke the deadlock with 15 minutes left when Renny Smith slotted in following a swift counter-attack.
Captain Reece Fleet added a second on the break in stoppage time to leave the Hoops a point from safety but having played two more games than Dorking, who slipped to a third straight defeat.
Andre Burley’s 36th-minute goal from close range was enough for the hosts, who now have 27 points, with their opponents, who fell into the drop zone as a result of the loss, just three better off.
Dominic Samuel led Ebbfsleet’s bid to get back into the game after half-time, having a header cleared off the line by Aaron Williams-Bushell.
He then saw a shot blocked by Burley and fired the rebound wide as his side tried in vain to find an equaliser.
City took the lead 14 minutes in when Olly Sanderson won the ball and threaded through to Zac McEachran, who slotted the ball home.
They reversed roles as McEachran found Sanderson on the break and the forward earned a goal of his own, firing the ball past Will Jaaskelainen but Padraig Amond pulled one back for the visitors in the 69th minute after slotting home from Scott Cuthbert’s pass.
On the 90th minute Josh Parker pounced on Jaaskelainen’s loose pass to roll the ball into an empty net before Amond earned his second of the game nine minutes into stoppage time.
Promoted City, now unbeaten in four since losing their opening three matches, took a surprise 12th-minute lead when Lewis Miccio set up Olly Sanderson to head home.
However, they were ahead for barely eight minutes before Gus Mafuta drilled home Solihull’s equaliser from the edge of the box, and the high-flying hosts then took a 28th-minute lead when wing-back Joe Newton slotted home at the far post.
Oxford, playing their first season in the National League, drew level soon after half-time when leading scorer Josh Parker smashed a brilliant 20-yard effort past Tommy Simkin for his fifth goal of the campaign.
An action-packed encounter continued with a superb Simkin save preventing Parker from putting City ahead again with 17 minutes to go, and two minutes later Solihull were celebrating their third goal when Kyle Morrison headed home from a corner.
Solihull were again unable to hold on to their lead though, and Oxford salvaged a point when Josh Ashby struck a fine leveller with nine minutes to go.
City had a great opportunity to go ahead after nine minutes, but Oliver Sanderson’s header from Josh Parker’s cross went narrowly wide.
Nya Kirby dragged a shot narrowly wide for the hosts before Chris Haigh made a superb save to turn away a Josh Rees effort.
Kirby saw another shot blocked after the restart as the home side pushed for the breakthrough.
Dagenham then wasted the best opportunity of the game when substitute Conor Lawless burst clear and set up Ryan Hill with just the goalkeeper to beat, but his touch let him down to allow City to recover and block his effort.
Buoyed by their 3-2 home win over Woking last week, City made a fantastic start by taking the lead after four minutes when Cole Kpekawa headed home on his debut after signing on loan from Bromley.
Zac McEachran doubled the visitors’ lead in the 13th minute before things went from bad to worse for Ebbsfleet on the half-hour mark when Billy Clifford was sent off for two yellow cards.
Oxford continued to dominate after the break, with Olly Sanderson making it three in the 49th minute and Alex McQueen put the game to bed three minutes later.
Ebbsfleet dropped to third-bottom after a fifth defeat in a seven-match winless run.
Josh Parker fired the visitors into the lead with a composed finish after 15 minutes.
But Joe Westley got in behind the Oxford back line on the hour and expertly bent the ball into the net to draw the hosts level.
Nick Haughton sealed the victory for Fylde with a stunning free-kick into the top corner with 10 minutes remaining.
The result leaves Oxford 16 points from safety with only five games remaining.
The bottom two clashed at Kingfield Stadium, where a Jayden Luker strike and Lewis Walker’s penalty secured victory for the hosts.
Luton loanee Luker opened the scoring with his first senior goal, beating a defender on the edge of the penalty area before firing home.
Walker tucked home from the spot on the hour-mark after Ricky Korboa had been tripped, with the win taking the Cards up to 20th place, one point above the relegation zone, with Oxford City six points from safety.
Oxford, promoted via the National League South play-offs in May, had failed to win any of their opening five matches in the fifth tier of English football but spectacularly put that right on Monday.
The visitors arguably had the better of a goalless first half with Kwesi Appiah going close with a header, but City stormed to victory with four goals in the final 25 minutes.
Nya Kirby smashed in the first with a powerful low shot and Josh Parker doubled the lead with 15 minutes to go.
Olly Sanderson added a third five minutes later and substitute Zac McEachran wrapped up the win in the 86th minute, inflicting only Boreham Wood’s second defeat of the season.
Hartlepool boss John Askey had voiced his concerns over City’s artificial surface in the build-up to Saturday’s match and watched his side get blown away in the second half.
Goals by Joe Grey and Callum Cooke had Hartlepool ahead at the break, despite Oliver Sanderson scoring for hosts City.
Canice Carroll started the comeback with a 62nd-minute leveller, which sparked a period of three goals in seven minutes.
John Ashby put Ross Jenkins’ National League new boys in front before substitute Pierre Fonkeu struck a brace to earn City a memorable second win since promotion.
The visitors took the lead in the 17th minute when Josh Kelly, who had earlier seen an effort chalked off by an offside flag, was played through on goal and made no mistake.
Woking were handed a golden chance to equalise only four minutes later when Ricky Korboa was brought down by Tommy Simkin but the goalkeeper made immediate amends by saving Padraig Amond’s penalty.
Moors were then unable to take advantage of an indirect free-kick in the six-yard box and Amond got his goal nine minutes into the second half to earn the hosts a point.
Experienced striker Padraig Amond netted the opening goal in the 13th minute with a stunning free-kick from 25 yards.
After a lengthy delay which resulted in the fourth official taking over from one of the assistant referees, Woking came close to doubling their lead when Dan Moss’ cross flashed across goal.
Walker, signed on loan from Gillingham on Friday, did make it 2-0 just six minutes after coming on at half-time, when he nodded home.
McCallum struck twice in the first half following Gerry McDonagh’s early penalty against his old club.
The game kicked off 15 minutes late after Kidderminster were delayed arriving, but the visitors, who have won just once in the National League this season, needed little time to get going as they went in front after eight minutes.
McDonagh was brought down in the area and the former Eastleigh forward stepped up to fire home the resulting penalty.
McCallum equalised midway through the first half, meeting Chris Maguire’s corner at the near post.
And he struck again well into six minutes of added time at the end of the first half by heading home a fine left-wing cross from Oscar Rutherford.
Eastleigh had chances to move further clear in the second half, none better than when Maguire rounded goalkeeper Christian Dibble in added time but a scramble on the goal-line ensued before the ball was hacked clear.
Eastleigh opened the scoring in the 14th minute when Enzio Boldewijn picked out McCallum with a cutback and he curled into the top corner.
Boreham Wood were not behind for long as Tyrone Marsh smashed in via the underside of the crossbar four minutes later.
The home side regained their advantage two minutes into the second half when McCallum nodded in from a corner and they held on to record back-to-back home wins.
