Blimey, good luck with that!
I have a 1980 fatboy so looked into that as a just in case. Still have a search set on ebay, but they rarely come up.
Olivier at ON Atelier (olli on here?) serviced mine, but parts are always going to be an issue I fear. It might be that you send it to someone to diagnose, and then wait for a donor watch to come up.
I considered selling mine for a while as parts are so tricky. Ended up keeping it, but will most likely store it without a battery. If it's a circuit you need, there is a similar part that will work, but obviously that compromises originality.
Sorry to be the bearer of not great news. Good luck with it
Olivier is definitely recommended too