I'd suggest these things:
1. Open your add/remove programs control panel & remove all versions of Java.
2. Downld the "Offline" version of Java only from here
Java 1.5 (take the JRE) & then install it from your computer after downlding.
3. Try deleting your LW Preferences folder whilst LW is
closed; instructions here:
Point #2 & 3 in Fixes for Limewire (sample image included.)
4. Ensure your firewall is properly configured & UPnP is enabled on your modem/router; instructions here
Connection problems? Check here first! (click on link)
5. Downld the "Offline" LW version from here
http://www.limewire.com/english/content/download.shtml & install.