I'm no expert, but I'll offer a suggestion anyway.  Are your updates for Windows current?  I see you have SP3, but I've seen on the net that there is an SP4...unless that was a typo.

I did a google search for:   "KMODE exception fault not handled"  and from what I'm reading it sounds like a memory issue for that particular error.

http://www.motherboard-forum.com/asus/More_blue_screens_reboots_and_lockups_on_a_new_A7N8XED_565661.html

Another site mentions hardware acceleration and defective drivers IE: Video Card:

http://groups.google.ca/group/microsoft.public.win2000.general/browse_thread/thread/7e973b8685b6b0a3/3f231bbd13887a98%233f231bbd13887a98

http://groups.google.ca/group/microsoft.public.windowsnt.terminalserver.misc/browse_thread/thread/c3cea3b2c73c856e/b5e9f883a850b2e6%23b5e9f883a850b2e6

While reading searches for that search string, I saw that the other errors you are getting seem to be associated with those same thread discussions.

"It is good to see ourselves as others see us. Try as we may, we are never
able to know ourselves fully as we are, especially the evil side of us.
This we can do only if we are not angry with our critics but will take in good
heart whatever they might have to say." - Ghandi