Hi BewitchingFaerie,
Welcome to TSG!
What happens when you visit the web site
http://nmap-online.com and scan your computer (Quick, Full and Custom scans)?
The nmap-online.com web site is used to test the web site address given by ip address in the command against various vulnerabilites. To test for the Null and Xmas scans, edit the arguments to specify: -sN -sX
for doing both Null and Xmas scans, or do two separate scans, using only one of the arguments at a time.
If Norton 2009 includes a firewall, you should visit the Norton web site to find out if you don't know, but, my bet is that it would probably detect either type of scan if it does in fact have a firewall rule for either. If Norton 2009 does not include a firewall, then it cannot protect you against either Null or Xmas scans.
Norton AntiVirus 2009 does not have a firewall, Norton Internet Security 2009 has a two-way firewall.
-- Tom