Revealing mistake: When DiNozzo is watching the ship through the binoculars at the beginning, the film is run in reverse. The sailor smoking on the deck is the giveaway, as the smoke he's blowing is going into his mouth. (00:00:15)
Visible crew/equipment: When Director Shepard apologizes to Tony during their phone conversation, Tony begins to cite a Gibbs rule, "Never apologize," and in the wide shot as Jenny finishes, "it's a sign of weakness," the camera is visible at the right side of the screen. (00:14:45)
Continuity mistake: We see Ziva take the photos out and place them on the interrogation table and ask the captain to point out their suspect. We then see the Captain pick up a photo. Camera changes to McGee and Tony behind the glass and we see Ziva getting the photos out and places them on the table again. (00:39:10)
Chosen answer: It is never stated, however she must have been there several years if she is on presidential detail.