I meant the model number of your Linksys not the serial number. Most Linksys modems use what's known as NAT technology whic blocks most port access. You will need to forward a port to give LW access but you need to give me the correct model number for me to give you the correct instructions on how to do it.
Also you will need to configure all your firewalls to allow LW total access:
http://www.limewire.com/english/content/firewalls.shtml Double-check your settings!
Without doing these 2 things you have at least 2 things that are blocking LW's access to the net even if only partially blocking it.
Update your Java to:
Java 1.4.x OR to
Java 1.5 (take the JRE)