But I do imagine that we will see R2-D2 having the stolen plans uploaded to his memory.
In fact this is what Leia does in the opening scene of ANH. Leia has the plan when the movie begins, she uploads them into R2 after having recording her message to Ben.
Ah yes on the credit card!
I think what I am trying to establish if this movie will end with the transmission being sent and I think the answer is there will be another 30 minutes to go after the transmission is sent. so I think the movies timelines will crossover a little bit.