Visible crew/equipment: When Harlee arrives at the building, set lights are reflected on his sunglasses.
Continuity mistake: The people inside the elevator disappear in the wide angle. (01:57:21 - 01:57:51)
Continuity mistake: When Fred Astaire leaves the cab he doesn't have anything in his hand with the box, but as he walks to the hotel he has a small bunch of flowers which he takes into the hotel with him. But they are never seen again. He does not give them to his date, nor does have a flower in his buttonhole.
Suggested correction: He has the flowers with him the entire time, from the cab ride to entering the hotel. You can see them when he pays the cabbie and when he's going to the hotel. He's carrying the flowers and the box in the same hand.