Hi guys wanted to post an update as I got an answer to most of my questions.
I was having battery problems as well, where it would be like 20% when I woke up and Id have to constantly tether-charge at home/work to keep it going.
I disabled NFC and almost all the background tasks and it was still happening. I turned off push email (15 min instead, same problem with iphone, it just phones home too much) and that helped but it still drained fast.
I get to work and put it on the desk, after an hour i pick it up and its warm and at 40%! Then I realize its uploading to skydrive all my vids and pictures once it came into contact with my work wifi!
I disabled skydrive uploading, turned on battery saver mode, and intentionally watched vids and played games until the battery hit 10%. Then fully charged it.
I went the whole day with it in my pocket with normal use (few phone calls, wifi enabled, check email a few times), and it was 80% when I went to bed.
Hope that helps.
On another note, the night video on this thing is incredible. We went to a xmas lights show and the vid crushed the still pics of my canon SLR. Dark darks and the lights looked the same color as my eyes, as opposed to the SLR toning down the lights (overload) and the blacks were more of a dark red.
EDIT: Also, no random reboots for me, i do have the discoloration on the back of the black model though