Hmm, since LW is detecting a firewall somewhere (with all accounts), we need to find out where this firewall comes from and how to configure it.
The fact that the other accounts work despite the brickwall in front of the globe is in so far irrelevant, because it will block other people from uploading files you share; which is rather bad for a filesharing which should work vice versa.
Besides, LW should always be running not being blocked by a firewall to increase the search results for you.

The problem is that you haven't said so much about your system config., so I'll start there:
Can you give us a total description of your set up:
1. OS version? (eg: Windows 98)
2. What firewalls you have?
3. How much ram?
4. Hard Disk space available?
5. Connection type? (eg: dialup, broadband, cable, etc.)
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from (home, school, work, etc.)?
8. What version of Limewire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
9. Who is your isp provider (Internet Service Provider)?
10. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.
11. Is this a your 1st try at LW or is this a new problem with an experienced user.
12. 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?

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