Uninstall all versions of Java you have, reboot, then install using the "Offline" Java installer
http://www.java.com/en/download/manual.jsp
It might also be an idea to reinstall LW after that using the "Offline" LW installer
http://www.limewire.com/english/content/download.shtml (No need to uninstall LW as the installer will remove the previous limewire at beginning of installing process.)