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Im cam and ill do my best to help you!
IT sounds like a ground problem, both for the starter getting hot and the clicking.
follow the grounds from the battery to the engine, and battery to body. check them for corrosion and make sure they are tight.
I have had a couple in with the main groun from battery to engine was bad.
have a look at this and let me know what you find
also, im assuming the actual starter connections were not rotten and in good condition?