F2 is the hotkey for BIOS on this machine ^
BIOS on that specific machine is not going to do anything for him, I have worked on a few of these. They have VERY limited abilities in that BIOS.
As far as updating it goes, if the computer is shutting down after 5-30 seconds that will not be possible.
The RAM idea is possible and I will add to that by asking you to remove all the RAM then trying to boot the machine. If you don’t get any beeps then your system is shot. It is either the mobo or CPU at that point if you want to test it quick.