if the reel mechanism doesn't wind up and kick/spin the reels, the coin relay on the left side of the reel mech won't mechanically reset.
if the coin relay stays tripped (coin accepted light is on), then the handle release relay won't stay reset/latched.
the payout counter units reset when a reel mech B switch pulses closed. Reel mech B is the horizontal switch right above the coin relay, and it also requires the reel mechanism to wind up and kick. When the payout counters don't reset, the winner paid light stays on.
I'd guess something is wrong on the right side of your reel mech ... most likely the pawl isn't rotating clockwise so it pushes on the black trip lever (green arrow below). If you don't have the toothed black ratchet piece, it's also possible the roll pin connecting the trip lever to the main shaft sheared so the trip lever moves but the shaft doesn't.
post a pic or video of the entire right side of your mech if unsure, and if you're really bored email or stick on a cloud drive a bunch of highest possible resolution pictures of the front of your machine as well as all sides of the major units and inside of the door - especially what's in the top compartment and the payout counters - to slotpics@cdyn.com and I'll add them to
https://bingo.cdyn.com/slots/. If emailing from a phone/tablet, email "actual size" ... the pics are usually a few megabytes each rather than a few hundred kilobytes.
note the below picture is not the at-rest position of the reel mech ... the handle has started being pulled at this point. See:
https://bingo.cdyn.com/slots/windup_and_kick/