Where are you connecting from (house, apartment block, school, student accommodation, work)?
Who do you pay for your internet use (that's your ISP)?
Have a look on your modem...what's the brand and model number? Have a look underneath the modem as well.
How many green connection bars do you see in the bottom left corner of LW?
Do you see the firewall icon (brick wall in front of the blue globe at the bottom of LW)?
What happens when you try to go here (click on the link) http://www3.limewire.com:6346
Are any other computers connecting from the same place that you are?