Castillo is looking down at his folder and writing something when he first informs Crockett that he is being assigned to protect Caitlin. The scene then cuts immediately to a different angle in which Castillo is looking Crockett right in the face.
When Crockett is cleaning his gun, it is shown on the table in several pieces with him holding the frame. After the camera angle changes, he is holding the entire gun intact, and he didn't have enough time to reassemble it.
At the beginning of the party for Crockett, the boom mic is briefly visible in the upper right hand corner of the screen.