the battery should have been out while using odin. I never heard of a battery frying from it. no, do not bother putting it back in, just follow the instructions in my last post and try for download mode again.
If odin just failed and was totally done, you should have either soft bricked it, boot looped it or did absolutely nothing to it. any one of the three are easy to solve. I am kinda stumped as to why it will not turn on at all...trying to do some research on it now