Have you ever tried to finish downloading one of those files to see wether it is really corrupted??
If so and it wasn't corrupted, then I would recommend to make a fresh install of LW and Java. That mean you have to uninstall LW (go START>Programs>Limewire>Uninstall; and START>Control Panel>Add/Remove Programs>JAVA).
Then reboot your computer, install the newest version of Java using the JRE offline installer and reboot again ( you can download it from here ):
http://java.sun.com/j2se/1.5.0/download.jsp
The try also to use the offline installer of LW (newest version is 4.12.4) to install after you've installed JAVA and rebooted ( you can download it from here ):
http://www.limewire.com/ 