Sorry to be so tardy getting back to you.
Looking at your error logs it appears there's software errors from all over the place. All appear to be caused by I/O or memory. We need to test memory and your disk but before doing that, I need you to try re-seating your memory module(s). Power off completely and unplug the power supply. Hold the power button down for about 10 seconds to discharge components then proceed with opening the case. While you're in there, check for excessive dust and clean if necessary. Make sure the memory module connectors are clean as well as the modules. A soft cotton cloth dampened with alcohol works best. Make sure there's no lint left on the module connections. And wear a wrist strap grounded to the chassis!
Run Memory Diagnostics
. This is a Windows tool so you don't have to try and download any software. I doubt it would work any way until we confirm your disk and memory actually work.
on your C: drive. This will check your drive for errors and attempt to repair them. And you don't have to try and load any new software just yet. Use Option One
steps 1-4 then skip to step 8. Since it is your OS drive, you'll have reboot and it will run at start up. Let it run. Do NOT attempt to stop it or restart it.
Run CHKDSK on your other logical drives (Partitions with drive letters) if you have any defined.
The check disk and repair processes will take a long time and is dependent on the drive size. Expect several hours to complete the checks.