There is no way you can make it in 1 hour. please keep in mind that Air Berlin closes check in 90 minutes prior to the flight. You should allow at least a minimum of 3+ hours for the transfer from T5 to T4 with the Monorail. Also keep in mind that Jetblue is unable to check your luggage all the way through. You have to claim it and re-check it at Air Berlin
There is no way you can make