Continuity mistake: As Miles walks from the train in the long shot he gets money from his pocket with his right hand and is carrying his coat with his left. In the close-up we see he's holding the coat differently and has the money in his left hand.
Continuity mistake: After they find and fingerprint the alien body on the pool table, Jack starts out holding the piece of paper with the blank fingerprints on it in both hands. In the next shot he's holding his pipe in his right hand.
Continuity mistake: As Miles slams on the brakes so that he won't hit Jimmy Grimaldi Sally is seated to the left of him in the passenger seat. In the shot from the front she's seated in the middle of this seat behind the rearview mirror.
Continuity mistake: On top of Miles' stove when we first see the coffee in the coffee pot its three quarters full. Later we see it again while Becky is poring Jack a cup of coffee and there's less and she didn't touch it.
Continuity mistake: As Miles begins to talk to the doctors in the restaurant parking lot he's leaning into the car. In the next close up shot his position has changed and he's not leaning into the car.