The system is now more stable. The main change seemed to come from updating the SATA Interface Controllers using the link above. Unfortunately two ntoskrnl.exe related BSOD have appeared, both upon shutting the system down.
I have run Memtest 4.0a again to ensure it isn't a RAM issue, but after over 12 passes, it still returned no errors.
Attached is a new system health and dump collection. The warning about antivirus in system health is incorrect as I am running an up-to-date MSE.
Thanks again for your assistance.