At 8:14 with Alan in East Berlin in 1962 one can hear a modern train announcement regarding a regional express train ('RE') to Stuttgart main station ('Hauptbahnhof'). There are no RE trains going to Stuttgart from (East) Berlin.
Nadia is wearing her Apple Watch when she is in the hospital back in time. She previously stated that her phone disappeared when she went back in time. Her watch should have as well by the logic of it not being able to exist in the 1980s.