Have you at any time been connected to the network? May i make some simple suggestions. Set LW's settings for not to connect on opening (ie: Tools>Options>Connections>untick option to connect on startup.) Keep tips closed on start up.

Then re-open LW. Leave it for 20 mins. Then go LW's menu File>Connect & select. Leave it for another 20-30 mins & see if it connects. Keep your shared files to more than 50 but less than 200 to make it quicker to startup but not be filtered out by those who expect a minimum share amount. Even after 20-30 mins if it appears not to be connected search for the beatles using an Any Type search.

If all this fails, I'd suggest you try a different port no. to connect thru. Perhaps 6344. Tools>Options>Advanced>Firewall Config>Listen to port no. Oh make sure your firewall setting is set to UPnP (the 1st option.)