It sounds like you configured the firewall properly. It's not difficult.
But trying to connect from a business can bring in its own issues. They may have certain firewalls there you don't have access to.
Do this simple test for us. Using your browser go here:
http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there?
If you can't get that page, then it suggests that port 6346 is being blocked. You could instead try a higher port between 49152 - 65535. But you'd also need to add this port to your firewall clearance. To change the port setting in LW, go to LW's prefs>Advanced>Firewalls & change listening port. Press apply. Go to File>Disconnect. Wait a minute. Then File>Connect.
If that doesn't work, then go back to LW's settings & select manual port forward & put the same port number in connection port. Try process again.