Did you have Java 1.6.0_02 installed before you moved (ie when LW was working)? Some people have had problems with that version of Java. Try this one instead, use the JRE offline installer & remove any other Java versions before you install this one.
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11

Also try this: Delete LW's preferences folder when LW's properly closed. See point 3 here & also point 2 if you've used older versions of LW in the past (there could be a folder in either location).
Fixes for LimeWire
This will kill all of your settings within options, you'll have to go back through afterwards & reset things. If you're not sure of your settings, go through LW's tools > options & write them all down, so that you can reset things later.

Double check that your XP firewall is allowing LW.

Open your LW, file > disconnect. Let it sit for 5 minutes then file > connect.

What's the model of your Belkin?