As usual with this machine, fix one thing, get another problem.
I put the new replay register in tonight. Swapped over the switch stacks intact, and transferred the coil wiring one at a time to the same lugs, though that shouldn't matter on an AC game. Set the switches so they do what they look like they should do. Turned the game on, dropped a coin, and the game immediately adds 4 credits to the register. It moves nice and smartly, no issues at all. Play the credits down normally by hitting the buttons. Drop a coin, 4 more credits. Now what?!
Turned the machine off and back on. It cleared the credits down to zero as it should. Dropped a nickel - 4 more credits. Re-checked the switch stacks and everything looks good there. So that's the new issue - got to figure out why/how the game is pushing 4 credits to the register. The register is dumb, so there is no "fire the coil once but increment 4 times" possibility. Plus, cycling the plunger once by hand gives precisely one digit. So it has to be the game pulsing the coil 4 times.