Try these fixes...In this order...
Try uninstalling all versions of Java from the add/remove programs and then re-install the JRE 5.11 offline version....
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11
Then uninstall Limewire using the uninstaller which is found in start > all programs > limewire...then re-install it using the offline installer...To find the offline installer, use the link below > cancel the installer window when it pop's up and then select the offline installer link...
Lime Wire » Download LimeWire
If that does not help with your problem try deleting your preference folder/s...
Fixes for Limewire when LW isn't operating as it should
Still no luck try these....
Check and see if you have the lisence warning ticked...
Go to Tools > options > Searcing > Lisence Warning and make sure the box
is not ticked and select apply...
If that does not help try this...
Go to your connections Tab in limewire, if it's not showing up go to Veiw > Show/Hide and make sure the connection tab has a tick next to it...
Then click on the Hosts and remove them and let Limewire search for some more...