Most of your bug checks are STOP 0x0000001E: KMODE_EXCEPTION_NOT_HANDLED
Their usual causes are: Device driver, hardware, System service, compatibility,
Remote control programs, memory, BIOS. Problematic software:
Start Menu\Programs\Ad-Aware Antivirus Public:Start Menu\Programs\Ad-Aware Antivirus Public
I see that you already have Microsoft Security Essentials installed but you have
Ad-aware antivirus too. Suggest you to uninstall Ad-aware as 2 antiviruses on
your computer would create problems.
I and many members on our forum recommend Microsoft security essentials with
a great combination of Malware Bytes.
→ Microsoft Security Essentials - Free Antivirus for Windows
→ Malwarebytes - The Free version
→ Good and Free system security combination.
Once you've uninstalled ad-aware, run the system file checker that'll repair corrupted
→ SFC /SCANNOW Command - System File Checker
Then run disk check to check a selected hard disk for file system errors and bad sectors on it
→ Disk Check
Do these and report back. We'll do more troubleshooting if the problems persist.