Sounds to me like a system error. Chances are little snitch or the other programs you installed also installed something in the system or application support that is causing a conflict. You'd need to check both the main library & your account folders to check what support files were installed at that time by arranging them all by date.
I'd suggest you remove LW. Drag & drop it into the trash. Then remove the LW receipt file;
Receipts folder sample image. Then delete the LW Preferences folder found here
/Users/your_username/Library/Preferences/LimeWire
Then reinstall LW. If still problelms, set up a new account & try running LW from there. To see how to set up a new account see bottom of page of the first link I gave.