Hi f0kz0r and Welcome to The Forum.
You're Random stop codes can often indicate hardware issues.
The majority of tha latest few indicate:
STOP 0x00000124: WHEA_UNCORRECTABLE_ERROR
Usual causes: Hardware, Incompatibility, Maybe driver corruption.
As a Priority:
This Pre 7 driver mentioned in one dump file:
Rt86win7.sys Thu Feb 26 09:04:22 2009 Realtek PCIe GBE Family Controller v7.053 If you're unsure about manually installing drivers then choose the Win7 and WinServer 2008 R2 Auto Installation Program (SID:1483XXX) option to download.
Apart from that, sadly, no horrors driver wise.
Download and run CPU-Z. Take screenshots**/snips of the CPU tab, Mainboard tab, Memory tab and all the slot #'s under the SPD tab.
Go to Post Reply, click on the Go Advanced button and attach the screenshots**/snips to your post for all the RAM experts to see by using the paper clip you will find on the top toolbar. Do not zip them up.
**If screenshots, please crop.
Also see: Help Us To Help You By Filling In Your System Specs.
Some hardware tests you should be prepared to run: