Quoted from PinWiz1969:
It seems like there is a connector, which has this wire that burned on a few connectors in the head that directly plugs into the power supply
Can you post some clear pictures of the burned wires on the connectors?
The two orange/red wire connectors on the ALDB (J2 and J3) running to the playfield lamps have black protectors covering the connector wiring ends. Slide those black covers up or down to expose the connector wire terminals. What happens when you ground some of those metal terminals? Do their respective lamps on the playfield illuminate? i.e. grounding the:
J2 pin 4 (Red-White wire) should illuminate the 70k left lane lamp
J2 pin 11 (Red-Black wire) should illuminate the Specials left lane lamp
J3 pin 3 (Blue wire) should illuminate the 50k Inlane drop target lane lamp
J2 pin 15 (Red-Green wire) should illuminate the Extra Ball left lane lamp
If the lamps illuminate then you need to find out why ground isn't reaching the common "cathode" leg to all the SCRs on the ALDB.
If the lamps don't light at those two connectors terminals, then ground the end tab of those particular lamps at the lamp sockets to make sure the lamps are working. Presuming lamps are good, then find out where you have a break in the wiring between the lamp sockets on the playfield and those two connectors on the ALDB.
Make sure where ever you connect to ground actually has good continuity to ground.