Try deleting your LW preferences whilst LW is closed & found here: /Users/your_username/Library/Preferences/LimeWire
You have an active firewall for osx? Wow!
So which firewall is this? Is it OSX firewall or another?
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?
Can you give us a total desciption of your set up:
1. What firewalls you have?
2. How much ram?
3. Hard Disk space available?
4. Connection type? (eg: dialup, broadband, cable, etc.)
5. Modem & router brand name & model numbers?
6. Where are you trying to connect from (home, school, work, etc.)?
7. What version of Limewire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
8. Who is your isp provider?