Try uninstalling limewire via Start > All programs > Limewire/Uninstaller..
Don't use the Add/Remove programs to do this....
Use your computer's search to look for all files & folders with limewire in the name. If you can't delete them, reboot into safe mode & then try. If they still won't delete, try one of the tools here...
Incomplete Download File won't delete at all.
Then re-install limewire 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 limewire still wont start up for you once you have the new install 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
Let me know how you go with those steps...