I would suggest replacing the rectifier board, too. I'll bet I have replaced two dozen of those boards in the past 15 years or so. Also, don't look too hard at those wires soldered to the test points looking for a reason. Bally issued a Service Bulletin suggesting the "fix" to solder those wires directly to the test points when the connection had failed, and those connectors failed quite a bit in use.

I would suggest checking the diodes on the flippers for the reset issue, if those are okay check the other coil diodes. Whenever I find a reset issue on an old Bally, it always seems to point at a cracked diode somewhere. These days when I go through a classic Bally I replace all diodes and switch capacitors as a matter of course, along with a lot of other stuff.

Given just the normal problems associated with lamp sockets on a classic Bally, I wouldn't add a damaged lamp driver board to that equation. My guess is that if you just repair the components on that board you will still be chasing lamp problems from here on out. As pinfixer said above, just find a used LDB and be done with it. Then when a lamp fails you can figure it is just the socket or a burnt out lamp and you won't be pulling that LDB to check it.