My task manager says that I have over 1000 processes running. Most of them are svchost.exe/ vbasic. Do I have a virus?

Certainly serious excessive.
I would scan for both viruses and malware..

You can run a full scan on your PC system
Also check the start up and running programs through
In Run "msconfig" type and enter
Under Startup section disable the service that is not required.
This way you can save load on your PC.