I've noticed a lot of Cox Cable users posting about connection problems in the last few days...
Cox are known to shape p2p..
But you could try to port forward it could very well be the problem....Your router is a Dlink DI-634M and it has a Nat Firewall, which means you want to open up a port for Limewire to get through....
These are the instructions for your router...Make sure you follow them closely and do not skip the static IP step it is very important...
Port Forwarding for the Dlink DI-634M