Try deleting your LW Preferences folder whilst LW is
closed; instructions here:
Point #2 & 3 in Fixes for Limewire (sample image included at bottom of page.)
Also see
License requirement (click on link)
If still problems, then go to add/remove control panel & remove all versions of java including jre & jse. Then reinstall Java using only the 'Offline' installer:
Download Java software from Sun Microsystems which I think is 2nd on the list (13 MB download.) Of course do this whilst LW is closed. And in fact, do it whilst your browsers are closed also.