Hi. . .
I don't see any reason why your system isn't producing dumps.
1 item of note from the output in your post -
That of course is your Windows install date (likely the initial boot of your system) - 2 April 2008
That was over 7 years ago.
I think it's time that you gave serious consideration to reinstalling Windows using the recovery partition, which I verified that your system does in fact have.
Back up all of your documents, pictures, etc... and reinstall Vista.
A fresh OS is the best way to help figure out if the BSODs are being caused by software or hardware.
Regards. . .
jcgriff2