Norton Internet Security will contain Norton Anti Virus provided you keep it up to date.
Other programs which are very highly regarded to back up your anti virus are:
1. Ad-Aware
http://www.lavasoftusa.com/support/download/
2. Spyware Search & Destroy
http://www.safer-networking.org/en/mirrors/index.html
3. Spyware Blaster
http://www.javacoolsoftware.com/spywareblaster.html
Download 1 & 2, then immediately update each and run them. In Spybot S&D remove anything it finds and highlights in RED. In Ad-Aware remove everything it finds under "Critical Objects"
When you have run these scans then download Spyware Blaster and immediately update it. Make sure all protection is enabled for Internet Explorer and Restricted Sites. You will not need to run this program since it "runs in the background" and helps prevent ad/mal/spyware from getting onto your system.
You MUST remember to check for updates to these programs regularly - weekly at least!
If you experience any problems post back.
Good luck!