Hi pinballman3
The first picture - the PDF I made from the ipdb-schematics --- unfortunately some parts are missing - may want to make You a copy of "my work" - copy down onto Your computer. You then may check with Your paper-schematics --- may take some pictures with Your mobile phone - upload Your pictures - I can add / complement the missing areas ...
Troubleshooting the seldom-fault: I would like to mount some Test-Lights --- looooong wires on the Test-Lights - the loooong ires (and so the Test-Light) come out the open coin-door - Test-Light(s) lay on the apron and You play many games. WHEN the fault happens: DID one of the Test-Lights light-up ?
SteveFury shows his Test-Light here: https://pinside.com/pinball/forum/topic/reading-gottlieb-schematics#post-2634425 --- want to make Yourself such an Test-Light (or two or three Test-Lights - a really good tool) --- two car-bulbs of 12Volts put one behind the other - summing up to a Test-Light of 24Volts.
You have mentioned: "Pressing the Replay-Button when a ball is in play" does NOT start a new game --- see the second picture - in the JPG I marked "grey": You press the Credit-Button --- well, "green IS OPEN" as the Game-Over-Relay is not pulling when You play. "Blue" should be closed in a ONE-Player-Game. "Red" closes when the pin steps from "ball-1 is lost" to "Ball-2 in play".
On the bottom You see my Test-Lights --- I wonder "Does the Reset-Relay ONLY (faulty) pull-in" or "Does the Coin-Relay (faulty) pulls-in and then makes the Reset-Relay to pull-in". We may have to mount another Test-Light on the Coil of "Game-Over-Relay" or some other Relay --- trying to find "what relay makes the fault happen". Greetings Rolf
P.S.: I can send "my work, schematics" per EMail - some 3 MB data (PDF) or 5 MB data (JPG) - but actually hope for help to complement the missing areas.