There is some advice on how to resume downloads of incomplete files in the FAQ Section 6.4 - use the link below:-
You can launch any file from your shared folder without even going on the net.
The files are located in Program Files\LimeWire\Shared - just double click on a file and it should launch. If you have no player then-
There is also a list of players you can download in FAQ Section 4.4
Click on your selected player and the link will take you where you can download it. (if you haven't got a player)
LimeWire Troubleshooting FAQ
If you're still having problems, come back on this thread and post again