Hello Charles, welcome to SF... as promised, I had a look...
If this is a 4 day old machine that you bought from a shop that also did the W7 install for you.... go back and have it fixed. I doubt it is hardware... the W7 install, specially the updates needed are wholly messed up + you seem to have a licensing problem. Not sure of that though as I'm missing some info, including a dump.
You don't have minidump creation on... we need those to really see what is happening + I see you've installed windbg and tools yourself... so you'll need it to for that to be usefull..
http://www.sevenforums.com/tutorials/174459-dump-files-configure-windows-create-bsod.html
Drivers seem uptodate as can be expected with such a new system.
If you only bought hardware and did the W7 install yourself... well something went very wrong there.... In that case I'd try a new, clean install:
http://www.sevenforums.com/tutorials/1649-clean-install-windows-7-a.html