Frequently BSOD errors with brand new PC

Hello vgus84.

Install Service pack 1 and all other windows updates. Otherwise the system will remain vulnerable to threats.

Code:

Windows 7 Kernel Version 7600 MP (8 procs) Free x64
Product: WinNt, suite: TerminalServer SingleUserTS Personal
Built by: 7600.17273.amd64fre.win7_gdr.130318-1532

Learn how to install Windows 7 Service Pack 1 (SP1)
Service Pack Center - Microsoft Windows

Daemon Tools, Alcohol 120% and Power Archiver Pro uses SCSI Pass Through Direct (SPTD), which is a well known BSOD causer. Uninstall Daemon Tools at first. Then download SPTD standalone installer from Disk-Tools.com, and execute the downloaded file as guided below :

• Double click to open it.
• Click this button only:
• 
• If it is grayed out, as in the picture, there is no more SPTD in your system, and you just close the window.

Let us know how it is running after doing these two. If the BSODs continue to occur, we will take a look on the other suspects, but these two are the first and foremost.
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BSOD ANALYSIS:

Code:

BugCheck 1A, {41790, fffffa80092b5e70, ffff, 0}

Probably caused by : win32k.sys ( win32k!SURFACE::Map+175 )

Followup: MachineOwner
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BugCheck 4E, {99, 3359c7, 0, 335ec7}

Probably caused by : memory_corruption ( nt!MiBadShareCount+4c )

Followup: MachineOwner
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avast ... memory management

Good to know that your issue is over :)