So the J relay is pulsing and the Score Motor is running but your Sequence Bank isn't resetting?
4 Square bank reset (resized).jpg
First unplug the game (!) because the Bank resets are running at 120 volts. Then check and clean the switch in the red box on the J relay. It's a make/break switch with large, high current contacts. If cleaning that switch doesn't work, unplug the game again (!) and try the same thing with the Score Motor 4B and SB relay switches to its right.

/Mark

The switches may be clean but we still need to track down why current can't get to the Sequence Bank Reset solenoid. It could be a switch that's not closing reliably, a loose switch contact, a cold solder joint, etc.

First unplug the game (don't just turn it off) then check if the fuse is good and whether the fuse holder has a good grip on the fuse.

If that doesn't help unplug the game again and break out a multimeter and some clip test leads. Clip one lead onto the Sequence Bank Reset solenoid solder lug that goes to the fuse (not the lug with the white wire). Clip the other lead to the yellow wire between the fuse and the switch on the SB relay. Put the meter on the lowest resistance setting and you should measure an ohm or less of resistance. If you do, move the lead from the yellow wire to the orange wire between the SB relay switch and the Score Motor 4B switch. Manually trip the SB relay and you should again measure an ohm or less of resistance (through the fuse and the SB relay switch). Move the probe from the orange wire to the green wire and close the Score Motor 4B switch and you should still see an ohm or less. Finally move the probe from the green wire to the red wire and manually close the J relay. That too should read an ohm or less.

If your resistance is more than an ohm at any point along the circuit you need to sort out why. Moving the meter probes should help you narrow down where the issue is.

If the Sequence Bank resets during the reset sequence that means that the fuse, fuse holder and Score Motor 4B switch are good. That leaves the J and 4S switches as suspects. During reset the circuit uses the normally closed J and SB relay switches to reset the Sequence Bank. During the game it uses the normally open J and 4S switches.

Also I misspoke earlier about the SB switch. It's the 4S switch you need to investigate not the SB switch.