BSOD soon after boot. Dump files attached.

Have you followed this steps?

Get rid of intel rapid storage. First uninstall it from Control Panel > Programs and Features. Then Uninstall the driver from device manager.

1. Right click on "my computer" icon and click "manage" on the context menu.
2. It will open the "computer management" window.
3. Select "Device Manager" in the left pane, It will list all the existing devices up.
4. Expand "IDE ATA/ATAPI controllers" by clicking on the triangle in front of it.
5. Select one Intel device item under it, right click, uninstall.
6. Continue the process for all Intel items under "IDE ATA/ATAPI controllers"
7. Now restart the computer. At restart, windows will auto configure the appropriate native system driver.

If not, do it now. Do it in safe mode if you want. Then, if is causing any more BSOD, Post it following the Blue Screen of Death (BSOD) Posting Instructions.

Now it looks good.

Code:

Name    Standard AHCI 1.0 Serial ATA Controller
Driver    c:\windows\system32\drivers\msahci.sys (6.1.7601.17514, 30.38 KB (31,104 bytes), 21/11/2010 03:23)

How it is running now?

All those BSODs are stop 0x50, caused by Ntsf.sys; as always.

Get the latest BIOS update, Version 1.30 dated 2012/11/13 from Packard Bell's website.

Test the HDD using the WD Data Lifeguard.

Test your RAM modules for possible errors, for one more time.
How to Test and Diagnose RAM Issues with Memtest86+
Run memtest for at least 8 passes, preferably overnight.

Scan the system for possible virus infection with the following programs.

• Anti-rootkit utility TDSSKiller
• Windows Defender Offline

If all the tests are well passed and the BSODs are still happening, opt for a Clean Reinstall - Factory OEM Windows 7 .

Disc check = passed.
Memtest = passed
Virus = clean
Clean install = done
And still BSODs occur.

Its tough to blame the motherboard in remote assistance, but it appears that there is no other way than changing the motherboard.

CaptainSEO said:

Ok - how do I find the exact motherboard?

Difficult to say. Better you contract a Packard Bell service center near to you; as your license is OEM and it is tagged to the motherboard.