Your description is not very accurate. What did you do exactly?
PS4 players have problems with lock pick because of the tolerance or the R2 button. I didn't realize that Xbox players have the same problems with the RT button. Please try to run. I'm not sure that this is possible in the theatre but then we know the RT is working correctly. There is a problem, if Haythem only jogs.
To the lock pick. You have to use left stick first until correct position, then right to correct position. Then do not move both sticks and press RT quickly. It is just a matter of practice.