Dunno if this makes any difference but on the Nokia boards someone posted about his battery issues with the 920 and a board admin posted this.
the heat is normal in devices, and that said, also to note that if there is more battery being drained then the charger is able to produce, than it will drain. this could be especially more common on the laptops if you are charging from them.
if from a laptop, the power coming from the ports is not always the same or enough, especially if they are not plugged into a power source themselves. however, even then the power you would get from a usb port is </~ 500mAh and you would definitely be better on a usb2 port, and the best is obviously not from the usb, but from the charger of the device that you said you tried.
if you had a 900, then you obviously know how to close the applications by left arrowing until it is gone. sounds like there are definitely some challenges with something running in the background.
couple of things could be....
the gps is hung in a loop and though the application is not showing doesn't mean that the component isn't stuck on some how, sucking battery power.
the gprs connection is stuck/locked in the background, not letting you get on, and also a sort of "short" causing battery drain.
my guess is that you have already rebooted the device.
if not, try it to be sure that it gives the device the opportunity to shut everything down completely. so let it be off for at least 2 minutes to be sure the power drains.
if that doesn't work, there could be corruption...it happens and not necessarily anything you have done....and you could try factory reseting the device through the settings/about/reset your phone, or you could hard reset it by turning off the device, then hold the camera+vol down+power until you feel it vibrate and then release ONLY the power button so that it will continue to start.
doing this will wipe your device to factory state and completely reinstall the OS on the EMMC. so if there are any corruption issues that should fix it...if it doesn't, take it back to ATT and swap it out immediately.
@JoshPolanco
welcome to the board.
Nokia, as is any major manufacturer of devices, well aware of a percentage that will be faulty during MFG of devices. there is no way possible to have a 100% perfection rate. that is why in the USA we have Lemon-laws.
What nokia makes regarding the Lumia devices is only the hardware and some of the applications that are unique to nokia devices, and no longer the OS as a whole. While they can help with the battery life by rendering dimensions and periferals and such, the OS itself would mandate most of what is getting the power and memory allocation.
I have had my yellow 920 for a about a week...and after the first couple of charges, I am now getting a drain rate of about 8-10%/hour. that is a 9-12 hour batter, and I have my device working! so that is pretty good when I pass up the iphone users and still have 50% left!
try to make sure you are getting a full charge and then run it down for a few times in a row pretty good....then start to meter your draining and see if it is better. mine seems to be getting better after its "warm-up"