Is there any reason you have so many versions of java on your machine. If not uninstall all of them then follow the instructions below.
You will need to install Java and LimeWire manually First go to the first link.You can find Links to java in there Download Java to your hard drive by putting a mark in the save to disc box. Save it to my documents or wherever you save downloads from the internet. Do the same with LimeWire the second link will take you there.
Now with that done click on start then control panel add/remove programs and see if Java is listed on the list if it is uninstall it. Do the same with LimeWire if the un installers were not loaded you may have to manually delete the files. But in most cases this is not necessary.
Now click on the Java installer you saved to your hard drive and follow the instructions after you have completed that do the same with LimeWire. Use the offline Java installer.
Please post back and let us know if it worked. If it did not I will give further instructions on manually deleting Java and LimeWire.
http://www.java.com/en/download/manual.jsp http://www.limewire.com/english/content/download.shtml