All pinballs that age that come through my shop will get the lamp boards pulled off of the bottom of the game, and the solder connections to the plugs reflowed.
Cracked solder connections on the board, at the plug, is where you should look first.
Your manual is here:
https://www.ipdb.org/files/662/Williams_1994_Demolition_Man_Operations_Manual_English_OCR_searchable.pdf
Look at the lamp matrix.
(Hint, it's on the second to last page, what would be the inside cover of the back...)
Extra Ball and Multiball are both connected to the yellow-black wire.
Are all your problem lamps on the yellow-black wire?
Examine the plug coming into the lamp board, is the yellow-black wire partially pulled out of the connector?
Examine every other lamp connected to the yellow-black wire. Are all the connections secure?
This is one of those situations in pinball that really confuses new technicians.
I have problems with every lamp on the yellow-black wire! IT MUST BE THE WIRE, OR THE CIRCUIT!!! (Nope, you have eight individual bulbs out...) Hehe.
Replace the bulbs involved.
My usual technique now is to get into all lamps test (Test 10 to get the flashers also, just for fun).
With all the lamps blinking, I'll take a black twist in socket that has a working lamp, unscrew it. I put it in the place of the dark lamp. This helps with the problem of the lamp in the black socket not making connection inside the black socket. When you take a working lamp and black socket and put it into a lamp board, you have narrowed the problem to the lamp board and it's wiring.
Then I put a new bulb in the black twist-in socket, and put that socket where I pulled the working lamp out of.
I know this sounds funny, but a frequent problem is the tiny wire on the 555 bulb not making connection inside the twist-in black socket, and doing it this way is helpful.
Let us know what you find!