Try this:

1. Download the JRE offline installer for this version of Java.
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11
After you've downloaded that installer, remove all the other Java versions on your computer. Now install the Java you've just downloaded. Restart your computer.

2. Reinstall LW. If you're using an older LW & have the installer saved...reinstall from there. If you're using the latest LW (4.14.10), download the installer from LW site & make sure to use the offline installer. When you click to download & the dialog box pops up, cancel that & use the option to download the offline installer.
Lime Wire » Download LimeWire

If it's still stuffed, delete LW's preferences folder when LW's properly closed. See point 3 here & also point 2 if you've used older versions of LW in the past (there could be a folder in either location).
Fixes for LimeWire
This will kill all of your settings within options, you'll have to go back through afterwards & reset things. If you're not sure of your settings, go through LW's tools > options & write them all down, so that you can reset things later.