AVG is known to be a cause of BSOD's on Windows 7 systems. Suggest that you uninstall it. Download the correct AVG Remover for your system (32 or 64 bit).
If you have AVG ID protection installed, download the AVGID Protection Remover from the above link as well (it wouldn't hurt to download and run it anyway). Download BSOD friendly Microsoft Security Essentials as AVG's replacement.
Uninstall AVG through the Control Panel. Re-boot to Safe Mode and run the AVG Removal tool(s). Re-boot to normal mode and install MSE. Make sure your Windows firewall is enabled! After your blue screens have been resolved, feel free to re-try AVG.
STOP 0x00000124: WHEA_UNCORRECTABLE_ERROR
Usual causes: Hardware, Incompatibility, May be driver corruption
All your dump files list hardware as the probable cause.
Old and incompatible drivers can and do cause issues with Windows 7, often giving false error codes. Random stop codes can often indicate hardware issues.
You're getting a stop0x124, which means blame the hardware.
Stop 0x124 Checks
Ensure that none of the hardware is being over-clocked.
Ensure that the machine is adequately cooled. Chase out those dust bunnies!
Make sure all hardware related drivers are up to date.
Possibly update the motherboard BIOS according to the manufacturer's instructions.