BSODs after upgrading to Windows 10

Hi lighti3ulb,

Welcome to the 10forums.

I have looked at the dumps present in the zip, 2 of them have gotten my attention.
The 0x12B and 0x7A are the onces I find interesting, the 0x12B is a crash usually caused by the memory and the 0x7A as you say is a process having problems with getting access to an object.
The 0x7A is caused by a Microsoft driver, but the details from the dump say something else.
Driver Reference Table - Msfs.SYS
Please read me suggestions below carefully

Code:

*** WARNING: Unable to verify timestamp for Msfs.SYS
*** ERROR: Module load completed but symbols could not be loaded for Msfs.SYS
2: kd> lmvm Msfs
start             end                 module name
fffff801`7e120000 fffff801`7e12f000   Msfs     T (no symbols)           
    Loaded symbol image file: Msfs.SYS
    Image path: Msfs.SYS
    Image name: Msfs.SYS
    Timestamp:        unavailable (00000000)
    CheckSum:         00000000
    ImageSize:        0000F000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Diagnostics Test

 Malware scan

Please run a threat scan with Malwarebytes*, a full scan with your AV, scan your system with Adwcleaner, Kaspersky TTDSKiller, ESET Online Scanner and SuperAntiSpyware

   Note

*(Uncheck trial version in the installation process)

Diagnostics Test

 System File Check

Please try following:

• Open an admin command prompt
• Copy/paste "sfc/scannow" (without quotes) and press enter
• When it finished reboot your system
• Open again an admin command prompt
• Enter sfc/scannow again

If sfc/scannow does NOT say "Windows Resource Protection did not find any integrity violation" after the second SFC, please upload the cbs.log file located at {windows partition}\Windows\Logs\CBS\, if the file is too large try a 3rd party uploader like dropbox, onedrive, google drive, mediafire etc.
System File Check(SFC a.k.a. Windows Resource Protection) needs to have your system rebooted in order for sfc to try to fix the problems that it finds.

Diagnostic Test

 RAM TEST

Run MemTest86+ to analyse your RAM. MemTest86+ - Test RAM - Windows 10 Forums

   Note

MemTest86+ needs to be run for at least 8 passes for conclusive results. Set it running before you go to bed and leave it overnight. We're looking for zero errors here. Even a single error will indicate RAM failure.

Have you gotten any bluescreen or pagefile errors meanwhile?

Please upload directly or remove permission requirement to make it more easy to help.

If you are overclocking anything, revert back to stock while troubleshooting.
On an unstable system, overclocking may make things worse.

Code:

CPUID:        "Intel(R) Core(TM) i5-3570K CPU @ 3.40GHz"
MaxSpeed:     3400
CurrentSpeed: 3403

Code:

KERNEL_DATA_INPAGE_ERROR (7a)
The requested page of kernel data could not be read in.  Typically caused by
a bad block in the paging file or disk controller error. Also see
KERNEL_STACK_INPAGE_ERROR.
If the error status is 0xC000000E, 0xC000009C, 0xC000009D or 0xC0000185,
it means the disk subsystem has experienced a failure.
If the error status is 0xC000009A, then it means the request failed because
a filesystem failed to make forward progress.
Arguments:
Arg1: ffffc0018d647ce0, lock type that was held (value 1,2,3, or PTE address)
Arg2: ffffffffc000000e, error status (normally i/o status code)
Arg3: 000000012e19c860, current process (virtual address for lock type 3, or PTE)
Arg4: fffff961b412aa44, virtual address that could not be in-paged (or PTE contents if arg1 is a PTE address)

Diagnostics Test

 HDD TEST

Run SeaTools to check the integrity of your HDD. SeaTools for DOS and Windows - How to Use - Windows 7 Help Forums

   Note

Do not run SeaTools on an SSD as the results will be invalid.

Run chkdsk
Disk Check - Windows 7 Help Forums

Run HDTune to

• scan for errors, no quick scan but full scan
• check the health,
• benchmark.

It may take some time, but please take the time you need to perform it properly.
Let me know what the results are

• of the error scan,
• make a screenshot of the health of every hard drive and post the screenshots,
• post screenshots with the benchmark of the
  
  • transfer rate,
  • access time,
  • burst rate,
  • cpu usage.

Looks like we were on the right direction :)

Hope your system will be stable after replacement.