If you've used LW before, then try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire
If not, then uninstall Java using the Add/Remove programs control panel. Then downld Java & save it to your computer (don't install it over the net!!!) Then install it.
A late thought ... perhaps your LW shortcuts don't work. Go directly to the program folder & try opening LW directly. If it works then recreate the shortcuts.