Hi runestaff and Welcome.
Looking at your last seven days worth of dump files gives a variety of error codes which could indicate a hardware problem. Old and incompatible
drivers can also give the same sort of results as well though.
Symantec was mentioned specifically more than once.
Norton is known to be a cause of BSOD's on some Win 7 systems. I suggest that you uninstall Norton, Then boot into Safe mode and use the
Norton Removal Tool to clear up. Download Blue Screen friendly
Microsoft Security Essentials as its replacement. Make sure Windows firewall is enabled!
Outdated Drivers:
pcouffin.sys Tue Dec 05 14:39:30 2006
P-Couffin is VSO software, related to CD/DVD burning software.
Update or Uninstall your current CD/DVD burning software.
Rt64win7.sys Thu Aug 20 17:05:06 2009
Realtek LAN RTL811
RTKVHD64.sys Tue Dec 08 10:20:05 2009
Realtek HD Audio
If blue screens continue collect the new ones together and attach them to a post.
I suggest you download and run Memtest86+ overnight 6-8 hours, minimum of 7 passes. If errors appear you can stop. If you have multi ram sticks it's then time to test single sticks at a time. See the links. Post back with the results.
RAM - How to Test with Memtest86+
Guide to using Memtest86+