Score reels resetting to 0 is a major plus .

So.. you have 2 problems
1) no playfield coils getting energised ..  Have you checked the "'Game Over' relay. .. set of normally closed  contacts housing a RED w/ WHITE tracer. Ensure that they are clean and making connection."

2) Ball count unit .. can you manually operate the plungers on this to see if the unit moves freely or does it seem gummed up . ? Also, are the power and earth wires firmly attched to the coil lugs on this unit .. give them a bit of a tug to be sure

+1

Check or replace the backglass "tilt" and "game over" globes. Sounds to me that the game is not properly resetting.

If you "lose the ball", does the "ball in play" advance to "Ball 2" ?