It could be an ISP issue, I know Cox are know to shape p2p...
Just check that the help the tech gave you are similar to this...
Port Forwarding for the McAfee Security Center
But you could try these fixes and see if they help...
Try uninstalling your Java from the add/remove programs and then re-install the JRE offline version....(4th one down)
Java SE Downloads
Then uninstall Limewire using the uninstaller which is found in start > all programs > limewire...then re-install it using the offline installer...
LimeWire: The Official Site for the Fastest File Sharing Program on the Planet
If that does not help with your problem try deleting your preference folder...
Fixes for Limewire when LW isn't operating as it should
If it still won't open uninstall Java again and roll back to the JRE 5.11 using the offline installer (5th one down)....
Java SE Downloads - Previous Release - JDK 5