1. 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.)
2. 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.
If still problems, check the latter options in the first link I gave such as about compatibility mode.