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 ยป 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...