Thanks for all the help. Here are the answers:

1. OS version? (eg: Windows 98)=Windows Vista Home Premium
2. What firewalls you have?=Not sure, but I know there is some kind of firewall in my NetGear router.
3. How much ram?=1014 GB
4. Hard Disk space available?=67.48 GB
5. Connection type? (eg: dialup, broadband, cable, etc.)=Comcast Cable Internet
6. Modem & router brand name & model numbers?=The modem is by Motorola, the router is NetGear WGT624
7. Where are you trying to connect from (house, appartment complex, school, student accomodation, work, etc.)?=House
8. What version of LimeWire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.=LimeWire 4.12.11/Java 1.6.0-rc
9. Who is your ISP provider (Internet Service Provider)?=Comcast
10. Do this simple test for us. Using your browser go here: http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there?=It says,"Your test worked!"
11. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.=At the moment, I have 4 computers running on a NetGear router
12. Is this a your 1st try at LW or is this a new problem with an experienced user.=I've had this program for a long while, so no this isn't my first issue.
13. Do you see a brick wall in front of the blue world icon at the bottom of LW's interface?=Yes