When you uninstalled Norton, did you restart your computer, checked the control panel to make sure all instances of Norton were gone, and restarted again?
Make sure your firewall is on. Go to the Start Menu, type Firewall, and select "Windows Firewall" (not with Advanced Configuration)
Assure that it is on.
Then click Start, type cmd, and right click cmd and select "Run as Administrator"
Type the following in:
ipconfig /release
ipconfig /renew
Also, is this an Ad-Hock network?