Hey I have the same issue
I have Premiere and After Effects installed on one computer so far and I just installed it on this laptop i.e 2nd system but after installation it says "start trial".....
But why is it a trial if I pay monthly and I'm allowed 2?
Unless I click start trial and then activate it from there but I just don;t want to take any risks and risk starting trial now so please somebody confirm xd
Thanks