Alright.. so I Downloaded The Java Link that You provided..
But a Little Confused about the First Line or Two in your Reply Above..
"You can achieve this easily for LimeWire by right-clicking the short-cut on desktop. But for Java, it would probably be easier to reinstall Java 1.6 (Java 6). Right-click the Java 1.6 installer and choose Run as Administrator."
Are you Saying right Click on The Shortcut for What..? Limewire? Then Click Run as Administrator on the Limewire Shortcut After Installing the JAva Link provided.?
I assume this is What you meant, as there is no Java Shortcut/Desktop Icon.