It could be a flaky power supply.

 

If the computer is restarting
It's probably set to automatically restart when this happens. By unchecking this box.
go to start-->
right click my computer-->
Click the advanced tab, go down to startup and recovery-->
Uncheck the automatically restart box. Your computer is probably experiencing system failure
By unchecking this box, you will receive an error message instead of the restart and that message can help you diagnose.

Check if you have any information in the Event viewer
Go to start-->
Right my computer-->
Manage-->
Event Viewer-->
System, Application, Security, IP-CallMasterLog

 

OK...so I've never come across bad RAM before, and I really don't know what it looks like. (I'm a real novice when it comes to troubleshooting.) Now I cannot even get to the OS I just get the BSoD with a bug code of 0xE3 RESOURCE_NOT_OWNED. What is that, is that the RAM?

 

You have a driver issue. Boot into Safe Mode, Go to the Device Manager, take note of the manufacturer, make and model of the Display adapter, Right click and uninstall the driver and restart into Normal Mode. Windows will load a default VGA driver. If the problem is cleared up, then go to the manufacturer of your Display driver and download the latest driver for that card, which you took note of.