I'd say it's your Java version that is causing limewire to shut down...'
Try uninstalling your Java from the add/remove programs and then re-install the JRE 5.11 offline version....
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11
With your firewall could you supply these details please...
http://www.gnutellaforums.com/connec...-you-post.html