WaaaAAAA???!!!????!!!?!?!?!?!?
You have a dropped, damaged phone and have battery issues and you suspected it was a firmware update? I'm sorry, but physical damage is what would be FIRST on my list of probable cause.
Oh, and if your battery is getting hot.
STOP USING THE PHONE, NOW!!!
Do not pass go, do not collect $200.
Lithium Ion batteries are little explosive devices if damaged, or are charged or discharged outside their designed parameters.
I use Lithium Ion batteries for R/C planes and I have personally seen one of my batteries go 'Boom' and destroy one of my planes. They have been known to burn down houses, fields, blow up aircraft, burn people, etc., if not taken care of properly. It's amazing how much oomph these little batteries have.
Personally, if I feel my phone getting warmer that it gets from using my Qi charging, I shut down the phone and remove my battery and let things cool down to room temperature before starting over an try to find out what's causing it to get warm.
Seriously, when in doubt, power off, remove battery (if possible), and let things cool down. If things get really hot, take the device OUTSIDE immediately and place on a large non-flammable surface (ideally, put it on your driveway, parking lot, sidewalk, away from anything else) and wait.