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My guess is the exploding battery probably had something to do with a massively over charging alternator and a battery that had low electrolyte. When the electrolyte (acid) level gets below the top of the plates you can get sparking between the plates, mix those sparks with the hydrogen given off by a battery being charged and you have all the ingredients for a very messy explosion.
I doubt the overheating had anything to do with it going on the information in the first post.