Red/White looks like it runs the entire bloody machine... (RHS of schematic)
I'm missing something here - O (on mine) switches off as soon as a score is registered for that ball.
It does not switch back on until the ball drains, score motor runs and increases the ball count - then the relay comes on IF there is a ball in the outhole.
Is your machine dropping the O relay off when you have scored points?
I'm hopeless with the logic - but it looks like a contact on "P" might hold "O" in as well?