BSODS on Windows 7

Post it following the Blue Screen of Death (BSOD) Posting Instructions. upload your MSINFO32.nfo file.

1. Click on the start button
2. Type "msinfo32" (without quotes) in the search bar of the start menu, click the resulting link. It will open the System Information window.
3. File>Save. In the "File Name" filed, put "MSINFO32" (without Quote), give the save location to desktop, and click the "save" button.
4. Give the time for processing, it will save a .nfo file on your desktop.
5. Zip it, and upload it following the instruction.

Extremely low space left to operate properly .....

No code has to be inserted here.

Whereas you have plenty of storage capacity ......

No code has to be inserted here.

I am suggesting to salvage some disc space.
Hard Disk Space - Free Up and Recover

Let us know the results when there are some free space left (at least 10% of the total capacity of the partition.)

With 6.61 GB storage free in C drive, I can see no hope. Still I will suggest you to post it following the Blue Screen of Death (BSOD) Posting Instructions. upload your MSINFO32.nfo file.

Event[13706]:
Log Name: System
Source: Service Control Manager
Date: 2013-06-10T10:56:36.853
Event ID: 7024
Task: N/A
Level: Error
Opcode: N/A
Keyword: Classic
User: N/A
User Name: N/A
Computer: Liviu-PC
Description:
The Avira Real-Time Protection service terminated with service-specific error The security stream for the given volume is in an inconsistent state. Please run CHKDSK on the volume..

Event[13707]:
Log Name: System
Source: Service Control Manager
Date: 2013-06-10T10:56:36.853
Event ID: 7001
Task: N/A
Level: Error
Opcode: N/A
Keyword: Classic
User: N/A
User Name: N/A
Computer: Liviu-PC
Description:
The Avira Mail Protection service depends on the Avira Real-Time Protection service which failed to start because of the following error:
The service has returned a service-specific error code.

Event[13708]:
Log Name: System
Source: Service Control Manager
Date: 2013-06-10T10:56:36.853
Event ID: 7001
Task: N/A
Level: Error
Opcode: N/A
Keyword: Classic
User: N/A
User Name: N/A
Computer: Liviu-PC
Description:
The Avira Web Protection service depends on the Avira Real-Time Protection service which failed to start because of the following error:
The service has returned a service-specific error code.

So apparently both the web related and storage related crashes are caused by Avira ... as it blocked stuff. Uninstall Avira using Avira AntiVir Removal Tool. Use Microsoft Security Essentials as your antivirus with windows inbuilt firewall, and free MBAM as the on demand scanner.
Download, install and update those, and then run full system scans with both of them, one by one.

Also, for the latest BSOD, the display crashed. Install the latest WHQL only.

• Uninstall All nvidia items in Control Panel > Programs and features
  
  • 3D Vision Control Driver
  • 3D Vision Driver
  • Graphics Driver
  • HD Audio Driver
  • PhysX
  • nvidia Update
  
  (Are you using nvidia chipset drivers? If so, dont uninstall anything other than those are listed).
• Now follow Drivers - Clean Left over Files after Uninstalling
• Boot normally now. Go to Drivers - Download NVIDIA Drivers, Download 320.18 WHQL. While installing, Select Custom (Advanced) install. In the next page, follow this settings:
  
  

Stress test the Graphics Card using Furmark.
Video Card - Stress Test with Furmark

Check if the Power Supply Unit (PSU) supplying adequate power to the computer or not.
eXtreme Power Supply Calculator
At least 30% more is safe.

Is the computer hot? Report us the heat of the computer after a couple of hours of your normal usage. Upload a screenshot of the summery tab of Speccy.