Good morning geeklygo and welcome back to CH
The information patio /quaxo / Allan are giving you the information for us to help you.
Maybe these steps might help you. If the HP factory restore partition is functional and in place. If your cousin
never made a set of recovery disks you can make them your self here are the steps from HP to make them
http://h10025.www1.hp.com/ewfrf/wc/document?lc=en&dlc=en&cc=us&product=94088&lang=en&docname=bph08097 you will need blank CD or DVD's to make them. These discs can be used in-case of OS corruption or harddrive replacement. These discs have ALL software / drivers etc that came with the PC out of the factory. Ruffly 3-4 DVD's and 6-8 CD to make them.
OK error 0xc0000005" is a memory error either physical or software program / video card memory violation error and is generic in that since. I would run memtest to run a scan on it they may be a bad stick of memory. Here is the link that may help to fix the error
http://www.pcreview.co.uk/forums/stop-c000021-windows-logon-system-process-terminated-unexpectedly-t2366489.html OK the error c000021a {Fatal System Error} this link may help you
http://www.pcreview.co.uk/forums/stop-c000021-windows-logon-system-process-terminated-unexpectedly-t2366489.htmlIf you let us know what model the hardrive is (western-digital / sea-gate) we can point you to the web site for the HD UT so the harddrive can be tested.
If you don't have another computer to put the drive in, you can use a live OS disc, such as one of the many flavors of Linux that have live CD versions.
As for the recover disc you have, if it wasn't made for that brand or sometimes model of computer, it may refuse to install. If his computer had a pre-installed version of the OS, it's product key may not work with an original Windows CD.
he is 100% correct on this. So with the above instructions you should do done so you have the discs
Please keep in mined these errors can be showing a hard drive that may be getting ready to fall or all errors are from widows (OS) itself.
Since you just received the system I'm guessing there's nothing on it you need to save. Format and reinstall the OS.
I totally agree with him. just follow the posting that everyone has Put in here to make a complete restore disk.
Please let us know how you are making out and please come back to tell us, Mike