The scoring in Happy Clown is controlled by four Player Scoring Control relays: AA, BX, CC & DD. There is one for each player and only one should be active at a time. The 1 point scoring schematic is shown below as an example:
Happy Clown Balls Played (resized).jpg
So when the N/1 point relay fires and closes the N switch, only one of the four 1 point score reels should advance based on which of the four Player Scoring Control relays is active.
The first thing to check is that only one of the four Player Scoring Control relays is ever active at once. If that's true, examine the switches on each of those relays to make sure that they all open and close as expected when the relay fires and that there are no shorts between them.
If you find that more than one Player Scoring Control relay can fire at at time, look into the Balls Played Unit which is probably a stepper unit with at least 20 positions. It's possible that the Balls Played unit is not working well because it's dirty, worn, loose, etc. It may be activating more than one Player Scoring Control relay at a time. If it is, it's likely activating two consecutive players' relays (e.g. player 1 and player 2, or player 2 and player 3, etc.) rather multiple random players' relays.
The Balls Played stepper has two solenoids, one to reset and another to advance it by one position. You should be able to push the plunger of the advance solenoid all the way into the solenoid, release it, and have the stepper springs advance the stepper cleanly to the next step. It shouldn't be sluggish or intermittent and all of the wipers should land on or very close to the center of the contacts below.
/Mark