Error code A, IRQL_NOT_LESS_OR_EQUAL - usual causes are Kernel mode driver, System Service, BIOS, Windows, Virus scanner, Backup tool, compatibility.
This is a hardware/hardware related problem. Because the dump is corrupted, I cannot get specific information. However, looking your other information, I can make some recommendations as to where to start your troubleshooting.
I recommend that you uninstall Avira using this removal tool:Info > Tool. Avira has been known to cause BSOD's on some Win 7 systems. You can try it again after you get your system running smoothly. Download and install Microsoft Security Essentials in the place of Avira.
I also find some outdated drivers on your system. Outdated drivers can and do cause memory corruption and crashes.