You need to tell people what fixes you've tried that didn't work!
Did you remove your old Java version & reinstall using the offline installer?
http://www.java.com/en/download/manual.jsp
Did you try deleting the preferences folder (with LW closed)?
Fixes for LimeWire
Did you try reinstalling LW with the offline installer?
http://www.limewire.com/english/content/download.shtml
Did you make sure that no antispyware was preventing LW from opening (add LW to the list of exceptions/allowed apps)?