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sounds like Dan is helping you offline so hopefully you got your questions answered. You didn’t post your area and knowing where you live ( roughly) helps others with helping with parts as someone may be local to you and not need to mail stuff, or maybe there are meetings near you.
I wouldn’t rewind the transformer unless it is blown, even then often you can take one from a donor if you can find one similar enough. That rubber is falling off but you can just get rid of what’s left of it and slip some heat shrink tubing cover to cover the wires up near tot he transformer and make a good western union splice into some fresh wire. solder and heat shrink the splice with appropriately rated heat shrink.