Hello David and welcome to the forum.
Can you attempt to stabilize machine by removing the two 512meg sticks of RAM and using only the two 1 Gig sticks of Micron Memory. Making sure that those two modules are placed into the proper memory slots as per you computer's documentation regarding memory.
Also you should probably perform a check of your hard disk
So open an elevated command prompt, Click the Start Orb->All Programs->Accessories->Command Prompt (right click it and choose Run as Administrator) and type
chkdsk C: /R
let it finish all five stages and see what it produces.
If you miss the final results you can find the chkdsk log in the Event Viewer
Before do this you may want to perform a disk cleanup and defrag of the disk to nominally help speed up the process a bit.
If removing the two memory modules seems to stabilize the machine then we can assume that the issue is with mismatched memory. Windows 7 (especially the 64 bit version can be a bit picky about memory)
Failing this you should probably consider adding the sticks back in and
Download Memtest86+
from this location here. Burn the ISO to a CD and boot the computer from the CD.
Ideally let it run for at least 7 passes / 6-8 hours. If errors appear before that you can stop that particular test. Any time Memtest86+ reports errors, it can be either bad RAM or a bad Mobo slot. Perform the test RAM sticks individually as well as all possible combinations. When you find a good one then test it in all slots. Post back with the results.
See
this Guide to using Memtest 86+