Well I finally got it fixed. I ended up just ripping out the two censors. I tested the board connections with some small strips of tin foil until I got the disc to start spinning, then I just soldered the connections. (ugly soldering job to be honest, but it works. As long as the system doesn't burst into flames, I think it'll do!

) The system is back up and running, and I also got it to play backups. I just stuck a small screwdriver into the 3rd sensor hole, and I was able do the fmcb swap. It seems a tad wonky as far as starting/stopping the spin, but it's very minor and it works well enough.