If you didn't have a compromised board, I'd suggest getting a new Eprom, and/or a new Ram (preferably a NVRAM) chip.
I'd suggest a replacement ribbon cable (or at least re-seat the ribbon cable) to the display, and to maybe refresh the solder connections to the display ribbon cable.
I'd suggest that the display going black is VERY commonly the three pin plug on the display driver board. Replace both the pins and the plug with trifurcon for the red and black power in.
I'd suggest that lately I've had a lot of machines this age that I've had intermittent power problems, and I've had to replace the pins at the top of the power driver board, and the connector there with trifurcon. (This for me has mostly been about intermittent opto boards, but bad power can cause ANY problem you can imagine).
With the board having been acid (alkaline) compromised... well, it seems your board is still compromised. Maybe an address line that only gets used when it accesses a higher memory location in ram or rom, but something still isn't right.
It seems to be accessing the wrong section of programming for what it's doing.
(I was just thinking... this would be an ideal amusement auction piece... disable the coin switches, lock the door, make it coin play only, show it with the attract mode working perfectly, lock the backglass so that no one can see the acid (alkaline damage)... buyer beware!)