BSOD. (kernel security check failure, irql_not_less_or_equal) etc

Could you please try installing the drivers as I posted, thus without (literally) any software installed at the end of installing :)

Please install only the display drivers as requested.

When posting about another BSOD, please include a new zip so it can be analyzed :)

Where do you get your drivers? 1 of the dumps was caused by the Realtek LAN drivers, but this one is newer than the one Gigabyte provides for your motherboard.

Code:

ffffd001`d2cba5a8  fffff801`662ca1e1Unable to load image \SystemRoot\System32\drivers\rt640x64.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for rt640x64.sys
*** ERROR: Module load completed but symbols could not be loaded for rt640x64.sys
 rt640x64+0x6a1e1

2: kd> lmvm rt640x64
Browse full module list
start             end                 module name
fffff800`6bc20000 fffff800`6bd06000   rt640x64   (deferred)             
    Image path: \SystemRoot\System32\drivers\rt640x64.sys
    Image name: rt640x64.sys
    Browse all global symbols  functions  data
    Timestamp:        Fri Apr 22 08:46:44 2016 (5719C8D4)
    CheckSum:         000E5D29
    ImageSize:        000E6000
    Translations:     0000.04b0 0000.04e4 0409.04b0 0409.04e4

Please try following suggestions & make sure to read it carefully :)

Diagnostics Test

 System File Check

Please try following:

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

If sfc/scannow says "Windows Resource Protection found corrupt files but was unable to fix some of them" after the second SFC, please upload the cbs.log file located at %systemroot%\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.

Make a photo of SFC and post it.

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 complete 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.

Make a photo of the result and post it.

Addition:
If errors show up you can stop the test, remove all sticks but 1 and test this single stick in each slot for 8 passes or until errors show, switch sticks and repeat.
If errors show up and you see them a lot later, no problem, the errors don't affect the test.