I'm out of easy answers for your machines. The latest versions work OK here.

Not sure if it is something in your Home Folder, LimeWire Prefs, or maybe even the OS X system.

If you know how to create a new Admin user account, try that and install LW there. If that one runs fine, then you know your system setup is good, and the problem is in the original Home folder.

If the same problems exist, then it points to LW and/or your system.