Continuity mistake: When Ducky and Palmer determine that LCPL Korby was frozen to death, Ducky's grip on his forceps changes between shots. (00:06:15)
Continuity mistake: When Gibbs is walking over to the Marines who are doing pull ups outside, there is an instructor in a yellow top who disappears instantly. (00:19:50)
Continuity mistake: When we see the Marines doing pull ups, the middle Marine is holding on at arm's length. Camera cuts and he is suddenly in the middle of a pull up. (00:20:00)
Continuity mistake: 7.05 - Code of Conduct. Gibbs and Tony go to question a marine who is exercising. The sweat stains on his shirt get much bigger and smaller, as well as change shapes, throughout the interview. (00:20:35)
Continuity mistake: Abby calls Palmer a genius for his suggestion about using a thermos. When she does her hands are lowered. Camera cuts and now one is raised up. (00:25:00)
Continuity mistake: When Abby offers Palmer a sip of her Caf-POW!, after he helps determine how their victim was poisoned, the cup switches hands between shots. (00:26:20)
Continuity mistake: When Singer is bringing the flowers to the widow, the way the flowers are held changes between shots. Notice the actual flowers have rotated and a card is now visible on them. (00:27:05)
Continuity mistake: When Ziva mentions the unit not knowing about the code red, two extras start walking past her. Camera changes to another view that the extras should be in, but they have gone. (00:28:00)
Continuity mistake: Gibbs puts 3 pieces of paper down in the interrogation room and the middle one is out of alignment. Camera changes and now all the bits of paper are lined up. (00:30:00)
Continuity mistake: When Mike is talking to Gibbs in his house, he has a bottle of scotch on the table. A few shots later, without it being touched, the scotch is now on the paper. (00:14:15)
Continuity mistake: When Shada Shakarji sits down at the end she has one hand open palmed on her chest near her shoulder. Camera changes and both hands are in her lap. (00:40:45)
Power Down - S7-E8
Continuity mistake: When the team finds the abandoned car from the robbery, and Tony notices the blood trail, he is initially kneeling down, then standing up. He then kneels down a second time, and then is instantly standing up again. (00:21:25)
Child's Play - S7-E9
Continuity mistake: The way Ducky holds the Dog Tags at the start changes between shots. (00:04:24)
Child's Play - S7-E9
Continuity mistake: When we see the girl playing checkers, the position of the pieces on the board are constantly changing between shots without being touched. (00:29:28)
Child's Play - S7-E9
Continuity mistake: The piles of black pieces change from 2 columns to 3 without being touched. (00:29:55)
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