bsod error code 124

Do you happen to have an add-on Ethernet card?

Code:

Product Type    Qualcomm Atheros AR8151 PCI-E Gigabit Ethernet Controller (NDIS 6.20)

If you do then you have your culprit most likely.

Mother board specs: ASRock > 960GM-GS3 FX

I don't see any recent important updates on the download page: ASRock > 960GM-GS3 FX.
Mostly ASRock utilities (aka bloatware), not HW drivers.

I did notice that the Speccy report identified your graphics:
DELL 3220L [your monitor]
Nvidia GeForce GTX 460 (EVGA) [add on card identified in your specs]

and the ASRock specs state:
Graphics
- Integrated AMD Radeon 3000 graphics
- DX10 class iGPU, Pixel Shader 4.0
- Max. shared memory 512MB
- Supports D-Sub with max. resolution up to 2048x1536 @ 60Hz

I wonder if there is a conflict between the two?

You might try disabling the AMD Radeon in device manager to see if that alleviates the problem. If not then renable the AMD Radeon and disable the Nvidia GeForce. If that doens't solve the issue, renable the Nvidia card.

As Arc pointed out, your graphics card is hot at 66C.

This is a long shot but it's best to put it out there.
Is the Ethernet cable a store bought cable or did someone made it themselves?
Can you predict when the bugcheck will happen, can you trigger it?
Sometimes (only under rare circumstances) Windows will throw false positives of 0x124
(which a hardware fault) when it's actually caused by software. Does the bugchecks happen when using
one browser and not the other?