You need to update your Java to 1.6....Use the offline installer....
http://java.sun.com/javase/downloads/index.jsp
Uninstall all older versions of Java first...
Uninstall the version of LW that you have by going to Start > All Programs > Limewire...The version you have is very old....
Also make sure you are not running windows firewall and your Norton one at the same time as they will clash...Make sure the windows one is disabled...
Then if you are still having problems, check to see if you have a wall in front of the globe...(you can't see this now because of the version you are running)
If you do you will have to supply your modem/router details (you can find the make and model number under it)...