Remember, rhe coil and plunger take NO lube. Just clean with alcohol and q-tips.

for the reels that keep moving. Check that all switch on the reel are open when at zero.
Also check for solder beads or touching wires.

here is a website with a visual. http://pinballaustralia.com/williamsreel.htm

I would check these two switches for the 10 point relay. (One is on the score reel).

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I would check the 3-4 reset relay. See if switch with the blue/white wire is clean and making good contact with common wire.

Also check the 3rd player 10 point score reel coil. loose wire or burnt coil maybe the issue.