1. Remove all old versions of Java. Then install the OFFLINE version from here
Download Java software from Sun Microsystems
2. Then install this version of LW
http://www9.limewire.com/download/LimeWireWin-full.exe
Your web problem sounds like your browser if blocking the site. Either due to your security softw., else your browser security settings. You may need to put LW site on the safe list.