Continuity mistake: When Gibbs has the Mafia boss against the car, his arm is across the Mafia guy's chest. Camera cuts and now it is right next to his neck. (00:34:50)
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)
Visible crew/equipment: After Gibbs explains to Agent Reyes that Commander Shields in on Terminal Leave, and she has a four day deadline to solve the case, when Gibbs walks away there's an overhead shot and multiple chalk T-marks are visible on the ground. (00:05:00)
Visible crew/equipment: When Mr Palmer is analyzing the blood, we see Dr Mallard by the fridge. If you look closely you can see the boom pole reflected in the door. (00:06:00)
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 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 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 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)
Factual error: Abby says she ran X-ray chromatography. There is no such thing. I assume she meant X-ray crystallography.
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 DiNozzo is woken up, the cover falls off his shoulder. Camera cuts and it's back on. (00:24:25)
Continuity mistake: When Gibbs shows Cpl Yost the tape in the interview room, he is burning a match down to his fingers. Camera shows a closeup of the head of the match being extinguished, but it is just the head that is alight. It is not burnt to his fingers. It also goes from horizontal to vertical. (00:36:50)
Heart Break - S2-E8
Audio problem: When DiNozzo is talking down to McGee at the start, the is an over the shoulder shot of him questioning human combustion. However the audio and mouth don't match up. (00:03:40)
Heart Break - S2-E8
Continuity mistake: When Abby is talking about SHC with Gibbs she is holding a drink with 2 hands. Camera cuts and now it's just one hand. (00:07:50)
Heart Break - S2-E8
Continuity mistake: When Tony has Kate's phone, he lifts it up over his head. Camera cuts to behind him and it is now level with his head. (00:08:50)
Heart Break - S2-E8
Continuity mistake: When McGee and Gibbs are walking to their desk the matrix sign that hangs in the office is saying "Carter and Us..." Camera cuts and it now reads "...aims Human Eri..." (00:15:00)
Heart Break - S2-E8
Visible crew/equipment: When Evan is ID'd at the morgue, a crew member can be seen reflected in the shiny door. They have a black jacket on, when no-one in the room has a black jacket. (00:30:30)
Heart Break - S2-E8
Visible crew/equipment: After Gibbs tells Tony to go down to Forensics to go over the physical evidence, when it cuts to Ducky walking into Autopsy while saying good morning to Jimmy, the reflections of the camera operator and camera are visible on the steel door. (00:34:30)
Heart Break - S2-E8
Continuity mistake: When Tony is smoking, he raises the matches to next to the cigarette. Camera cuts and they are nowhere to be seen. (00:36:00)
Forced Entry - S2-E9
Visible crew/equipment: Right after the intro at the start, when Gibbs and Caitlin get out of the vehicle the reflection of the large reflector screen is visible on the door's window. (00:01:40)
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