It's been years since I've worked on a Lisa, and I don't recall much about the analog board off the top of my head, but given that this is an Apple product, it may be worthwhile to replace the capacitors. I can't guarantee this will solve anything, but it may be a start.

As for the paint, I've seen worse. Those who were on the board a year ago probably remember the infamous "*Ouch* Free IIci" that I picked up from a Craigslist seller. It was covered in bright yellow paint, which the seller said would make the Mac run faster (his words). After taking a few parts from it to fix another IIci, I sold the rest of the machine to a fellow MLAer, who managed to clean it up (not sure if he replaced the missing parts). There is hope for this Lisa!