Continuity mistake: The security guard at the start goes to grab his gun and keeps his hand on his holstered weapon. When Gibbs gives the OK, he now has a handheld metal detector in his hand. In the shot showing Gibbs we can see the guard and he doesn't move. (00:00:35)
Continuity mistake: When Gibbs is making the phone call to (presumably) the press, he is holding the receiver in his hand. Camera cuts and now his hands are on the desk. (00:31:50)
Continuity mistake: When McGee turns up at the house, Dinozzo puts his hand on McGee's shoulder. Camera cuts and it's no longer there. (00:26:30)
Continuity mistake: When Gibbs catches McGee playing games on the MTAC system, McGee's microphone is down by his mouth. Camera cuts and it's up out of the way, instantly. (00:18:30)
Continuity mistake: When Ducky is doing the autopsy on the dog, he talks to the dog and leans against the slab on his elbows (the elbows are not seen however the motion is easy to distinguish). Camera cuts and his arms are wide and he's resting on his hands. (00:07:50)
Continuity mistake: When Gibbs is walking away from the FBI agent at the start, he is approaching a tree. As the camera changes he is way past the tree. (00:04:50)
Lt. Jane Doe - S2-E4
Continuity mistake: At the start, the drink DiNozzo has swaps hands instantly. (00:01:50)
Continuity mistake: When Tony is eating the nuts, he holds the container near the top. Camera cuts and he holds it near the middle. (00:22:30)
Continuity mistake: When Gibbs is leaning on the desk talking about the beetle, he has his legs apart. Camera cuts and they are crossed. (00:17:20)
Continuity mistake: When Tony and McGee drive off the rear window is half open. The camera shows the car driving away and the rear window is closed. (00:14:40)
Continuity mistake: When Tony and McGee are driving in the car near the start, Tony has a dark shirt on. As the car drives off his arm outside the window has a light coloured top on. (00:14:40)
A Weak Link - S1-E22
Continuity mistake: When DiNozzo and Gibbs are looking around the garage, DiNozzo starts to put his gloves on. Camera cuts and he's holding his gloves again. (00:12:00)
The Truth Is Out There - S1-E17
Continuity mistake: At the very start, Dinozzo says he needs to ask Kate a question, He has his backpack in his hand. Camera cuts to when he asks the question and his backpack is on his back. (00:01:40)
Continuity mistake: DiNozzo goes onto eBay to check the feedback of the dead officer. The feedback goes from a score of 1 with no star, to 87 with a blue star in the click of a button. (00:10:30)
Continuity mistake: When the woman is walking with Gibbs at the Naval base, she is doing her coat up in one shot, then has her hands in her pocket in the next. (00:08:15)
Continuity mistake: When Gibbs arrives at the Naval base in Orlando, we see the woman in a white coat and the coat is open at the bottom (she is doing the buttons up from top to bottom) and billowing In the Wind. Camera cuts and the coat is now perfectly still and closed at the bottom. (00:08:15)
Answer: I hadn't seen the backdoor pilots yet but while it wasn't explicitly stated, at least onscreen, I heard somewhere Vivian got either fired from NCIS due to jeopardizing a case, got resigned from the agency, or transferred to the FBI.
Raykvega423