Welcome aboard.
According to
Carrona.org, STOP 0x0000007F: UNEXPECTED_KERNEL_MODE_TRAP
Usual causes: Memory corruption, Hardware (memory in particular), Overclocking failure, Installing a faulty or mismatched hardware (especially memory) or a failure after installing it, 3rd party firewall, Device drivers, SCSI/network/BIOS updates needed, Improperly seated cards, Incompatible storage devices, Overclocking, Virus scanner, Backup tool, Bad motherboard, Missing Service Pack
As your dumps are not giving adequate information, We may start with some point.
► Uninstall Daemon tools. It is a well known cause of BSOD crashes.
► Uninstall AVG. Uninstall Norton and all Symentec products too, using
Norton Removal tool.Use
Microsoft Security Essentials as your antivirus with windows inbuilt firewall, and
free MBAM as the on demand scanner. Download and install those, and then run full system scans with both of them, one by one.
► Make some space free in C drive. As it is very little space left there.
► Test your RAM modules for possible errors.
How to Test and Diagnose RAM Issues with Memtest86+
Run memtest for at least 8 passes, preferably overnight, per RAM module per slot.
Is the computer in warranty? Let us know. Also let us know the results of these steps. If all failed, we will take another way, will think about the device drivers.