BSOD randomly and every time the PC is shutting down.

A bit new, but strange. This stopcode is applicable for checked versions usually, not for free version.

Code:

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*                        Bugcheck Analysis                                    *
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Use !analyze -v to get detailed debugging information.

BugCheck 1, {7fefe5d108a, 0, ffff0000, fffff880068e7b60}

Probably caused by : ntkrnlmp.exe ( nt!KiSystemServiceExit+245 )

Followup: MachineOwner
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And, no more information.

I think, you should go for a clean install.