Max,
I agree with the others about the flyback. I've seen alot worse and they worked ok. I would focus on replacing the two wires and then slow start it after you check the rest of the set. If everything seems ok then coat the flyback with some sensor safe silicone after you have played it for a bit and all the moisture has evaporated from it. It will be a nice set when your done and as always we like to see pic's
-Tony