Won't turn on after dead battery I have mountain lion on MacBook pro mid 2012.

So if my battery dies, because I left noSleep on or just because of being sat untouched for a week off of 2%, when I turn my computer on, Instead of the picture of the screen last used with the loading bar under it, the apple logo with the loading bar. I let it sit for a while, and it stays at the last bar of the loading thing. I wait and wait and nothing. I have to reboot using the power button to get it to work. A message then appears that said "your computer shut down cuz of a problem" . I have always saved my work
, but I am assuming it would all be deleted if I had an unsaved word doc on low battery.

What is going on?

Things I have tried:
 reset SMC
Reinstall OS on network recovery 

And eventually if I have to, I guesss I will have to factory reset it
This sounds like a defective hardware issue. Take your Mac to an authorized Apple repair/service center, or an Apple Store, and have them diagnose the problem. If it is under warranty, or if you purchased AppleCare to extend the warranty, they will replace any faulty components.