Have you been using offline installers?
Try this (sorry if you've already done it):

Download the offline JRE installer. Remove your current Java version before installing the new one.
http://java.sun.com/javase/downloads/index.jsp
Reboot your computer.

Now, reinstall LW but make sure to use the offline installer. No need to uninstall the old LW, installing a new version should do that automatically.
http://www.limewire.com/english/content/download.shtml