The rollovers all feed their corresponding 1B through 12B sequence relays (along with the standup targets in the mix). These 1B - 12B relays are then connected to the series relay, P.
When P activates, a switch closing there activates the E relay (500/5000pt relay) through a normally closed score motor switch at 1C.
E should then lock on via a switch closing of its own and a normally closed switch at score motor 2B.
P de-activates as soon as the rollover switch that activated it opens.
So it's important that E gets energized and locks on before missing the signal from P.
A switch closing on E causes the score motor to run, in conjunction with a normally closed switch on P. So this sets up a possibly touchy timing scenario; P needs to activate to activate E, E needs to lock on and catch the normally closed switch on P to start the score motor running.
While the score motor is running, another switch closed on E will cause either the 100pt or 1000pt relays to activate (M or L), depending on whether the game is set on Add a Ball or Novelty mode, via score motor switch at 1A (which pulses five times to get the 500 or 5000 score).
So... check the switches on P and E. Tighten the switch stacks, burnish the contacts, check the gaps.