OS X can has a limit of 1,024 connections, IIRC.

So, you have far too many incompletes, especially if each one needs more than one connection.

Quit LimeWire and find the incomplete folder. Sort the list so you can delete all the zero KB files and try again. The fewer incomplete files, the better LW works. Try to keep under ten.

For Java versions on OS X, you don't delete old versions: all are needed in case a particular progam needs an older version.

To check your version, just look in the About LimeWire box when LimeWire is running.

or

You can also check with the Terminal (in your Utilites folder). Open it and type exactly (there's a space in front of the minus sign):

java -version

then hit return. Copy the results to Textedit, and quit Terminal. You'll probable see something like