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.

Update your Java. You can try the latest Java update. Use the JRE offline installer & remove your current Java version(s) before installing.
Java SE Downloads

If that doesn't help then try this older Java version & see if it makes any difference. Again, use the JRE offline installer & remove any other Java versions before installing this one.
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11

Rather than running without a firewall, it's better to have 1 firewall running & allowing LW
User Cant Connect - LimeWire

Are you using a modem/router? If there's an internal firewall within, that could be effecting your connection. We'll need the brand & model...if nothing's showing on top of the device, have a look underneath