If you have no connection to the network (& assuming you're using Windows), try this: Reinstall this version of Java.
Java SE Downloads - Previous Release - JDK 5
Use the JRE offline installer & remove your current version of Java before you reinstall the other version.
Delete LW's preferences folder when LW's properly closed. See point 3 below, also point 2 if you've used much older versions of LW in the past (you could have a folder in either location).
Fixes for LimeWire
This will kill all of your settings within options, you'll have to go back through & reset things afterwards.
If none of that helps then please post your details...it's a PITA when we have to try & guess peoples' setup.
System details - help us to help you