Let's head to the manual! Particularly, the switch matrix on page 3-3.
doctor-who-switch-matrix.png
First of all, I don't really know Doctor Who too well, but I'll assume we're talking about switch 78 "Mini-ply Target" or "Mini-ply Lites Lock". (If I'm wrong, my logic will still hold up.)
At that target, there should be one or two white-gray wires on one lug, and one or two green-violet wires on the other lug. The simplest explanation would be that one of these wires have broken off the switch, but I think you've already ruled that out.
An equivalent problem would be if one of these wires (either the white-gray or the green-violet) had broken off on another switch, essentially cutting off switch 78 completely.
The first thing to do is check all the other switches in column 7 and row 8. If some of those switches are out, that will be a good sign that you're on the right track. If not, you're possibly still on the right track.
If you find a row or column that's partially out, you need to inspect the switch wiring at each switch on that row or column. You'll probably find that there's a wire broken off. You'll simply have to solder back to the lug with the same-colored wire. If all other switches are working, physically inspect each wire on the same row and column.
Hopefully you'll find the problem. If not, you'll have completed troubleshooting step one.