What I would do is, first open the Windows Task Manager (press crlt & alt and once on "delete" to open it), then go to the Process tab and look whether there is a limewire.exe process running. If so, force it to end.
Then use the Search function of your computer to find all files remaining from LW by using the search query "limewire". All files that you have found you should delete.
Then go to "START">"Run" and type " regedit ". The registration will open and there you go to "Local Machine">Software and delete the folder called " LimeWire".
Afterwards uninstall all Java versions on your system. Reboot and then download the JRE offline installer of the newest Java version from here:
http://java.sun.com/j2se/1.5.0/download.jsp
Install it and reboot again, then reinstall LW.