Here's the thing though, if I leave only the "good" stick of RAM in it (Micron 2GB) and take the other out (Samsung 4GB), it boots into Windows fine. No problems whatsoever. In fact, I ran it for several hours with no issues with just the one stick. The moment I add the Samsung 4GB stick to the second slot, it starts shutting down. Even the replacement Micron 4GB stick I ordered does it the same way. The only way it boots and behaves normally is to use only the Micron 2GB stick by itself in the first slot. I have listed the combinations and their results below.
Slot 1 - Micron 2GB
Slot 2 - Samsung 4GB
=Shutdown on login
Slot 1 - Micron 2GB
Slot 2 - Micron 4GB
=Shutdown almost immediately on boot.
Slot 1 - Micron 2GB
Slot 2 - Empty
=Works perfect
Slot 1 - Samsung 4GB
Slot 2 - Empty
=Works perfect
Slot 1 - Micron 4GB
Slot 2 - Empty
=Works perfect