What I would do is uninstall Norton and do not renew the license. Norton is not that good and there are very good free programs. Here is a combination of a couple of anti virus programs and a couple of very good anti spyware programs.
To uninstall Norton you might need this
http://service1.symantec.com/SUPPORT/tsgeninfo.nsf/docid/2005033108162039?Open&docid=2007082908475279&nsf=norton2008.nsf&view=docid&seg=hm&lg=nl&ct=nl
Because free programs are never completely as secure as the programs you are paying for I always recommend to install a combination of programs.
AVG free
http://free.avg.com/
or
Avast free
http://www.download.com/Avast-Home-Edition/3000-2239_4-10019223.html
Then I would install as extra protection, Threatfire
Threatfire is an anti virus, that can be installed next to any other anti virus program on the same computer
http://www.threatfire.com/
There is a lot of mal ware you have to protect your pc against.
This is a very good program, that completely runs in the background
http://www.comodo.com/boclean/boclean.html
You need also a good firewall
Zone Alarm Firewall
http://www.download.com/ZoneAlarm-Firewall-Windows-2000-XP-/3000-10435_4-10039884.html
Anti spyware
http://www.spywareterminator.com/
http://www.download.com/SUPERAntiSpyware-Free-Edition/3000-8022_4-10523889.html
http://en.kioskea.net/telecharger/telecharger-105-malwarebytes-anti-malware