Windows 7: Random BSOD, Malware Suspected

I have installed Paragon Backup & Recovery 12 Compact Edition.
It's from a giveaway.

As a test, uninstall paragon. It causes HDD malfunctioning in some cases, which lead to BSODs.

Aw shucks...
I got the Compact version from a giveaway. You can't get it normally, and there are many more features than the free version.
Should I try uninstalling it anyway? *Sigh* I use it to make backups every month.

I've just uninstalled Paragon, and will run the Driver Verifier too.

Arc, I've uninstalled Paragon, but the driver's still there.
Can I manually delete it?
EDIT: I've deleted all the Paragon drivers, and I'll re-run the Driver Verifier.

Delete them manually
Exactly the giveaway version .... all the paragon caused crashes I have noticed

Enabled Driver Verifier, restarted, and BSOD'd again at boot.
Driver was amd_sata.sys again.
Diagnostics files are attached.
My memory is fine, just did the test

There is no crash dump file in the zip you uploaded.

Free up the startup.

1. Click on the Start button
2. Type “msconfig (without quotes), click the resulting link. It will open the System Configuration window.
3. Select the “Startup” tab.
4. Deselect all items other than the antivirus.
5. Apply > OK
6. Accept then restart.

Then make it sure that the Crash Dump recording is properly configured.
Follow it: Dump Files - Configure Windows to Create on BSOD
Go to Option Two, Point 2. Download the .reg file and merge it in registry by double clicking it.

Search the .dmp files manually in the default path: C:\Windows\Minidump or %SystemRoot%\Minidump. Post it following the Blue Screen of Death (BSOD) Posting Instructions.

I don't know why there isn't a dump file, everything's properly configured now.
I deleted some drivers from Acronis and LogMeIn by description name because I uninstalled those programs.
Then, I enabled Driver Verifier and restarted the computer. Although it was laggy like **** (I'm running at 80% CPU, when I'm normally at 20% :P), I was able to start without blue-screening.
I actually manually changed the Dumpfile to a Minidump, and it gave me an error to "change the pagefile size to over 1MB", when my pagefile is over 5800MB.
IDK why? Going to restart, hopefully I'll BSOD.

I haven't had any BSODs since my last post, so I'm marking this as solved. If I have any more issues, I'll re-open the thread.
Thanks!
Also, if anybody can, need help with my another issue, at Hard Drive Management Gone Haywire.