If that test doesn't work, it means that LW's default port is blocked. Some people seem to have problems with Verizon & some find that LW works fine.

Try changing ports. In LW go tools > options > advanced > firewall config. You'll see LW's listening port in the top right corner. Change that to 64049 > apply > ok & see if it's any better (you'll also need to change any specific ports allowed thru a software firewall). You could also try any port between 49152 - 65535. Or port 80.

Your router has an internal firewall. AFAIK your router supports UPnP...make sure it's enabled within the router & then choose the UPnP option within LW on that same firewall config page. Apply > ok to save any changes.

If using UPnP doesn't work, you can try port forwarding. Follow the instructions below for your router. It might look a bit complicated but it's not really, just go through all the steps slowly & if you get stuck, start over.
http://www.portforward.com/english/r...G/Limewire.htm