Did you install this version of Java (JRE offline installer) & remove any other Java versions before installing this one?
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11

Also try deleting 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.
http://www.gnutellaforums.com/genera...der-vista.html

If that doesn't help, try reinstalling LW. When you click to download LW & the dialog box pops up, cancel that...you'll see an option to download the offline installer