That sounds very much like a CPU problem; heat. Have you checked the fan & or any noticeable heat?
BIOS ROM Checksum Errors:
http://www.pcguide.com/ts/x/sys/booterrGBER03-c.html
I also see fixes for this full error:
"Bios ROM checksum error
detecting floppy drive A media...
Drive A error. System halt"
recommending flashing the BIOS including the boot sector.
Also:
Change this setting to see if you can get an error message:
rt. click
My Computer then click
Properties then
Advanced then
Startup and Recovery Settings then
unclick
Automatically restart