Try these tips:
http://www.gnutellaforums.com/332284-post3.html Make sure you uninstall LW using the Start menu -> All Programs -> LW -> Uninstall. Run those utilities mentioned. Then install Java, then LW again. You're using Windows XP so ignore the advice about VISTA.
I would also recommend you delete your LW preferences folder before you reinstall LW: instructions here:
Point #2 & 3 in Fixes for Limewire (sample image included at bottom of page.)
As Birdy asked, might be complications if you didn't uninstall LW properly, hopefully the registry cleaners will clean it up.
If still installation problems with LimeWire, then try steps 5 & 6 in my link to the Fixes for LW.