Further to your problem, download this:
http://www.nirsoft.net/utils/shexview.html
Then do this:
- This program does not require installation, just right click and run as Administrator
- From the menu, click on Options then click on Filter by Extension Type and select Context Menu
- On the list, you'll see some of the entries with pink background, those are installed by the third party software
- Hold down CTRL Key and select all of them then click on the red button on top left corner to disable.
- Click on the Options again and select Restart Explorer
- Now try to right click on desktop to see if it fix your problem. If it does then start to enable one by one and repeat step 5 until the problem occurs again, that's the offending extension.