Hi 4Max
do You have a schema ? In the schema I see a "Make and Brake Switch (M+B)" and I see an "Open at Zero Switch (OZ)" and I see an "Open at Max Switch (OM)".
(M+B) is at Schema-G13, (OZ) is at Schema-B10, (OM) is at Schema-F5.
Lets talk about "Position-Zero equals ONE Player" , "Position-1 equals TWO Players", Position-2 equals THREE Players", Position-3 equals Position-Max equals FOUR Players".
Attention: (OM), at Schema-F5 handles 110 VAC !!! You push the Replay-Button for one Player-Game - then You push the Replay-Button for second Player - You push the Replay-Button for third Player - You push the Replay-Button for fourth Player - AND NOW THIS SWITCH OPENS -> You cannot push the Replay-Button for a fifth Player ...
(OZ), at Schema-B10 is in line to the "Coin-Unit-RESET-Solenoid" - You start a NEW game (for ONE Player) -> the Coin-Unit-Reset-Solenoid fires - AFTER it has fired: NO NEED for constantly Power to this Coil - the Unit has resetted and CUTS the "feeding electricity" (to the coil).
"M+B), Schema-G13 I cannot read - I see "Coin +-++--++ Limit" (maybe should read UNIT ?) - this Make-and-Brake-Switch - "Not thrown is for to activate the Replay-Unit-RESET-Solenoid", "Thrown is a bit difficult - I see "Replay-Unit-Step-up-Solenoid" , some wiring and a note: see section-D.
4Max - I look at pic-1 in post-1: the TOP-Switch is open at Zero - my (OZ) , looks good to me (as in all following pictures this switch is closed).
The switches below (pic-1) are "mounted (M+B) and below the (OM)" - I believe (OM) shall open in your "Last-Position" (No more pushing the Replay-Button, please)
The (M+B) I am GUESSING (MAYBE TRUE - MAYBE WRONG): Could be the throwing-in a coin starts a game and then some replays are added to the Replay-Counter ? - well, wild guessing.
Do You have a good paper-schema ?
Greetings Rolf