The one crashdump you provided is interesting. It says that a bad memory address was referenced, but the address itself looks completely legit. Unfortunately, it only
looks that way. I cannot ascertain what memory it actually refers too without having access to a kernel dump (MEMORY.DMP in the Windows directory). Minidumps do not retain such info.
I perused your syslog and noticed a couple things. The first is that there appeared to be some issues with your AHCI/RAID drivers (Marvell) back on the 21st. Make sure to update these, as well as your BIOS, as these can cause problems. The second item is that while there is only one instance of a bugcheck, there are
two instances where your system mentioned an unexpected shutdown. Having a syslog event like this without a correlating BSOD event means that the system shutdown either manually (you turned it off forcefully), or a hardware failure such as a power supply issue, an overheating CPU, a short, etc.
So far I haven't seen anything completely unusual. If you wish, turn on
Driver Verifier. It will ensure we aren't dealing with a software issue here. Do
not select
Force Pending I/O Requests,
IRP Logging, or
Low Resource Sim checks. Restart PC after finishing up all settings. Driver Verifier will ensure we aren't dealing with a software issue here.
Also, in addition to this, if you have
any software that came with your motherboard installed (like overclocking or monitoring), please uninstall all of it. They have a tendency to be very buggy and are not beneficial (OCing should only be done via BIOS). Only install device drivers from the manufacturer website. Also I know that some manufacturers like to slip some of the software into the Drivers section (like USB stuff). If you're not sure if something is software or an actual device driver, you may ask.