Droid Razr - too hot to touch

Question

Having several issues with my Droid RAZR, purchased in June 2012.  Current Android Version 4.1.2, Build Nbr 9.8.20-72....
Main issues are:
Battery life - stays plugged in all day & takes about an hour to go from 100% battery to about 65% battery.  It's under 50% at 2 hours after being unplugged & is around 20% within 3 hrs.
Overheating is a problem.  When not in use (and simply in a shirt pocket) it gets to the point of being uncomfortably hot.  Temp in a battery app is between 42-45 C.  If I use it for streaming audio, it gets too hot to hold.  Heat is also up during any phone activity at all.
Drops in & out of 4G/3G constantly & is much more apt to drop that coverage down to 1x than ever before. 
Also notice that the GPS flashes in & out more often recently than before. 
Not sure exactly when the update to JellyBean was rolled out to me, but I have had more of these issues in the last 90 days than I did prior to that.  I know that within the last 30 days other Verizon users with Droids have told me about abnormal power consumption on virtually all apps on their phone. 
Using Advanced Task Killer v1.9.7 & have it set to autokill = crazy and interval = when screen off.  Apps set to ignore are Gmail, a Craigslist app, Weather and Calendar. Everything else I have set to kill.  Even with those apps, it is still warm to the touch. 
Nothing I've done thus far has seemed to help curb the unusual power consumption on my Razr.  I've cleared the cache on it several times, and it seems to have curbed the constant heat issue, but not the spikes in temperature that went unnoticed before. 
I don't want to do a factory reset on it if I can avoid it, but would if it were the only resort. 
Any ideas what else to try? 

Answer 1

To answer your questions:
1. First thing Get rid of the Task Killer that can for sure cause the Heating as the ( Task Killer ) is constantly fight the Apps,
It is now uninstalled.  I had installed it when I noticed that the Android OS was using a disproportionate amount of the system resources (over 50%).
2. try running the phone in Safe Mode you could have some apps causing the issue as well
I will give this a try.  Most apps I notice take 3% or under of power consumption.  The big ones are screen (30 second timeout), Android OS (as of now, they are about 70% of the power consumption) and Wi-Fi (at home).  Android System takes only slightly more than the most heavy power consuming app.
Outside of the task killer, I had only installed updates to apps over the last month or so.  I just booted it into Safe Mode & it got noticeably hot in the center after about 5 minutes. 
3. And have you done a System Cache Clear in say the last couple of Months if not i would definitely try that
Yes, several times in the last week or so (Power off, then Vol + and Vol - and Power ), select Recovery,then select wipe cache partition & then reboot).
4. with a follow up of a Factory Reset
I had wanted to avoid doing that unless as an absolute last resort, since I have so many pictures, files, and other things saved on the phone. 
and your last question:
5. And one other thing i like to ask are you using the Charger that came with the phone or Charging it Via a Computer if by computer Switch to the charger that came with it in the Box..
Yes (at home).  In the vehicle, I am using a charger I purchased from Verizon when I got this phone.  At work, I use an AC Charger that was also purchased from Verizon. 
Thanks for the help.  I will let you know if Safe Mode makes any difference.