I got a similar problem. Dreamweaver quits after a message comes out stating Licensing Stopped Working - Error : 3.
The License Repairing Tool freezes on starting (I tried to reinstall the program, but the installer quits soon after starting).
I have Mavericks 10.9.2, iMAcMid-2011 3.4GHz Intel Core i7, 16 GB RAM.
The program worked, til I had to take the computer to the Apple Service, where they changed something inside (severl programs had to be re-authorized).
Can you send me a private message with your Adobe ID, location, and contact details (phone number, email ID)?