Are you sure that you are running NAV 2003 and avast! two resident AVs together? If so there is likely to be conflict and you should get rid of NAV.

Your firewall would appear to be blocking ashWebSv.exe (the web shield process) access to the internet. It should have asked you if ashWebSv.exe has permission to access the internet and you should have allowed it.

You should manually add the ashWebSv.exe to the allowed programs (you will have to check your firewall help on how to do this).