So despite cleaning the registry after uninstalling & reinstalling Java with offline installer, it still won't work?
Try this version, just unzip & use: Download ‘Other’ version & simply unzip & use!. If problems opening it, check options #5 & 6 here Fixes for Limewire (click on blue link).

Still don't see your system details other than Windows XP. I presume you are using Java 1.6? LW 5 will not run with any earlier version.
We need system setup details for a reason. Otherwise we're purely stabbing in the dark for answers. That's why we specified this in the forum rules.