Which Java are you using?? Try updating. Use the JRE offline installer & remove your current Java before installing the new one.
Java SE Downloads

You could also try installing a newer version of LW, the latest is 4.12.15. Or try the Beta version (4.13.12)
If you do try a newer version of LW, delete LW's preferences folder beforehand: 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.