Use your add/remove programs control panel & remove Java. Then reinstall it using the "Offline" Java installer which is about 16 MB download; Java 1.5 (take the JRE) About 4rth on the list!

Also, delete your LW Preferences folder whilst LW is closed; instructions here: Point #2 & 3 in Fixes for Limewire (sample image included at bottom of page.)

Then try again opening LW.

BTW you might also want to consider Tip: Purge the Downloads Queue! & apply it to files in the downld window that are zero % & go to your incomplete folder on your computer & arrange by size & remove files less than 20 KB. But careful not to remove the downloads.dat & .bak files.