No worries, I agree you are really close here to a working game.
When you try to start a game, you get absolutely no response when pressing the start button? Not even an error that all balls can't be found? If it was an issue with one of the trough switches it should make some noise and complain about not finding the balls. There could be a short in the wiring somewhere. The plumb bob tilt, roll tilt, and slam tilt switches all have CJ3-14 in common, with slam tilt returning on CJ3-5 and plumb bob+roll tilts returning on CJ3-4. Check for any obvious issues with these wires or trough switch wiring.