Have you repined? Take out the wiring diagram and go through each wire on those connections and verify the keying of the connector. It's either a bad lamp board or a wiring/connector issue.

I think you have a hard short on one or a group of your switched lamps. When you drive the lamp or group of lamps its lowering the 5v and the game will not boot. When it does not boot do you get any MPU flashes? Or is it dead? What do the voltage indicators on the MPU look like when the game is not booting?

First thing you want to do is to pull the backbox wiring schematic and confirm each wire color against each connector pin to make sure every wire is inserted into the correct shell hole.

Next, plug in J4 with the other connectors unplugged. Then plug J1, 2, & ,3 one at a time to narrow the problem down to a single plug. Once you've narrowed the problem down to a single plug pull every wire from that plug and reseat them one at a time until the game stops booting.

Monitor the voltages at every step to confirm that certain wires are causing the voltage to drop.

J1-14 is an address line for the lamps. I'm guessing with that line removed the problem lamp will not come on and that's why the game boots. Examine the lamps that are not lighting. Look for a short. If you can't find it you will have to do what I say and pull the wires from the connectors and reseat them individually until you can narrow it down to a specific wire or group.