The startup noises made by the riot control robots are the same as those made by the drones on Oblivion (2013)
The Man in Black's (Ed Harris) psychiatrist is called Doctor Alpert, which references Doctor Richard Alpert (Nestor Carbonell) in Lost (2004); both series were produced by J.J. Abrams. Although he never confirmed exactly who, Damon Lindelof said he named the character after a celebrity. In all likelihood it's a reference to Ram Dass, born Richard Alpert, who also studied and practiced clinical psychology among many other things.