Try first to change the compatibility mode of LW by right-clicking on the icon, then going to Properties>Compatibility and changing it to Windows NT (or Windows 2000).
If that doesn't solve the problem........
Uninstall LW and all Java versions on your system. Reboot and then download the JRE offline installer of the newest Java version from here:
http://java.sun.com/javase/downloads/index.jsp
Install it and reboot again, then reinstall LW.