Hi All,
So I succeeded in fixing the corroded circuit with the silver conductive pen. However, it seems there are quite a few more issues with the "membrane keypad." Some of the buttons don't work, and some of them initiate multiple functions (sometimes not even the one they're supposed to). Anyway, I believe that there is water trapped between the sticky plastic layers of the membrane causing the circuits to short, and I think that the amount of time it would take to figure out the issue and fix it is not worth it.
So, moving on to the switchbox idea (thanks unclejed), I tested the circuit board and all of the functions are working properly using a jumper wire. Now I just need to figure out how to permanently attach the wires to the board for the switchbox. Images of the circuit board will be attached. It had some sort of waterproof coating on it, which I was able to remove from the bottom. So far, I have failed in removing it from the top, but I could remove it from small areas if necessary.
Hopefully, someone will have a better way to do this than I have come up with. The three options I see are:
1. Attempt to cut open the existing male connector and solder wires where the "ribbons" used to be. This is currently my preferred option, but I'm not sure I will succeed at getting it open without destroying it.
2. Desolder the wire connector from the top of the circuit board and solder the wires through the circuit board. This seems rather difficult, but better than option 3.
3. Solder the wires to the bottom of the board - this would be in the middle right of the picture where there are 10 solder joints in a line. This seems pretty difficult as they are quite close together and I'm not that great at soldering circuit boards. I'm sure I will have issues keeping them separated.
Any ideas are greatly appreciated!