Did you migrate over the data from your old computer? If so, there's probably something you brought over that knows it's not on the same hardware as before. In that case you need to run this:
and then go around and manually remove all the bits and bobs, not just from applications but also from hard drive>library>application support>adobe and from your username>library>preferences. Spotlight will not help you. You have to go looking on your own.
If that's not it--you just a message that you've used up your activations, you need activation support:
Start a chat session and they can get you straightened out.
Big help. Thank you so much. Yes I did use Time Machine to migrate over. have the same problem with Dreamweaver CS6.