Moving CS6 from old Mac to newer Mac, serial # invalid

Hi can anyone help? I have a valid serial number for the CS6 suite that is registered...in fact the serial # shows as a purchase in my order history. My macbook pro is on its last legs and I attempted to transfer the CS6 suite from the dying macbook pro to my other macbook pro. Everything came across however when trying to use Illustrator, Photoshop, Indesign...etc. I am asked to enter my serial but it says it is invalid. I am typing it in correctly.

I don't have the suite running on any other computers....I have only ever had it on one computer.  It is a legit purchase. Why am I unable to move my purchased software to a newer laptop? I should not be getting this error and I should not have to purchase a new copy. I don't want to deactivate it on my dying computer in case it still gives that error on my newer computer. That would leave me without the suite on either computer. Any advice would be appreciated.