The tests I would perform
Issue: Green & White/Green GI string does not light
Turn off Game & Unplug Connector at J6 on the interconnect board
Keep Game Off Test for continuity between J6-3 & J7-9. If no continuity, then use the schematic to locate the break.
Keep Game Off Test for continuity between J6-8 & J7-7. If no continuity, then use the schematic to locate the break
Keep Game Off Test Green & White/Green string of lights for continuity
If you still have not found your break, reconnect J6 and very, very carefully with the machine on:
Test: DMM Test Connector J6-3 (one probe) & J6-8 (other probe), at connector plugged into interconnect board. Per schematic above, you should have 5.9v ac, If no, you do not have power from the transformer. If there is power, then maybe the relay on the back of the insert panel is giving you problems (I haven't seen that before, but who knows). I would be looking for broken wires/bad connections.
Best regards,
Tom