IRQL BSOD and freezing after startup/during shutdown

[Ausemika]

A few days ago I got a IRQL BSOD while playing an online game that I play a lot. After restart and about 5-10 secs after desktop appeared, everything froze and the fan became loud, so I force shut it down, entered Safe mode and did a scannow - it didn't show any problems. Restarting to normal it froze with the loud fan again. This is what it showed after entering safemode the first time:

Problem Event Name: BlueScreen
OS Version: 6.1.7601.2.1.0.768.3
Locale ID: 1063
Additional information about the problem:
BCCode: d1
BCP1: 0000000000000000
BCP2: 0000000000000002
BCP3: 0000000000000000
BCP4: FFFFF88007961621
OS Version: 6_1_7601
Service Pack: 1_0
Product: 768_1

The next day I restored to a 3 day old critical Win update point, did a full chkdsk, full antivirus scan with MSE and Spybot, it still froze on normal startup, then did a clean boot and it worked. When I tried to launch said game, I got a DRIVER_IRQL BSOD (and I think it had number 0x000000D1). After restart I launched another game, and it seemed fine, closed and tried to launch the first one - no BSOD this time, but a short black screen flicker and a notification in Action Center that AMD driver stopped responding and has recovered, and I found there details from the date of the first shutdown:

Problem Event Name: LiveKernelEvent
OS Version: 6.1.7601.2.1.0.768.3
Locale ID: 1063
Files that help describe the problem
WD-20210107-1824.dmp
sysdata.xml
WERInternalMetadata.xml
View a temporary copy of these files
Warning: If a virus or other security threat caused the problem, opening a copy of the files could harm your computer.
Extra information about the problem
BCCode: 117
BCP1: FFFFFA800AA8F010
BCP2: FFFFF88007026CAC
BCP3: 0000000000000000
BCP4: 0000000000000000
OS Version: 6_1_7601
Service Pack: 1_0
Product: 768_1

The next day when I enabled more programs in msconfig, during restart, after the shutdown screen went black, it stayed like that for some seconds, and the fan became loud just like the first day but after startup. I also tried to launch the game that worked the past day, but now it froze again. I tried some combinations of clean boot, but this time it would freeze during restart/shutdown (and once even while loading windows and I think even with full clean boot) instead of after startup. Also the fan often, and during safemode startup, would become loud for some seconds. In HP Advanced System Diegnostics I ran a Start-Up, Run-In, System Tune-Up tests, all passed. Malwarebytes also didn't find anything.

This is what eventviewer shows after the time of the first BSOD:
-The computer has rebooted from a bugcheck. The bugcheck was: 0x000000d1 (0x0000000000000000, 0x0000000000000002, 0x0000000000000000, 0xfffff88007961621). A dump was saved in: C:\windows\MEMORY.DMP. Report Id: 010721-17378-01;
-The UMDF reflector was unable to complete startup because the WUDFPf service was not found. This service may be started later during boot, at which point Windows will attempt to start the device again;
-The driver \Driver\WUDFRd failed to load for the device ACPI\HPQ6000\3&e89b380&0.

Also did windows Startup Repair 2 times and it stated "Unspecified changes to system configuration might have caused the problem".

I have:
Intel Core i3-2370M CPU 2.4GHz 2.39 GHz
RAM 8 GB
Dual graphics with Intel HD 3000 and AMD Radeon HD 7500M/7600M (I have a driver installed from AMD, but as a side question, I'm not sure if I should use AMD driver or the one provided by HP (it shows an older date))?