Jack Knife - S7-E15
Continuity mistake: When Gibbs holds out of the sugar for Fornell, the way the coffee is held changes between shots. (00:07:40)
Masquerade - S7-E14
Continuity mistake: When McGee is at the wedding there is one point where on the live feed, McGee can be seen covering his microphone with his hand. However when it cuts to McGee, his hands are not covering the microphone. (00:03:10)
Masquerade - S7-E14
Continuity mistake: When Gibbs has got the numbered yellow cones at the crime scene, they alternate from on his bandage to his hands between shots. (00:03:40)
Continuity mistake: The amount of foam atop Ton'y beer when talking to his dad is constantly changing. (00:18:20)
Visible crew/equipment: As Ziva runs into the hotel worker in the lobby, a boom mic drops into view very quickly. (00:13:39)
Child's Play - S7-E9
Continuity mistake: The piles of black pieces change from 2 columns to 3 without being touched. (00:29:55)
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 way Ducky holds the Dog Tags at the start changes between shots. (00:04:24)
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)
Revealing mistake: At the end Gibbs puts the handcuffs on the bad guy and they walk off. However look carefully to see the bad guy is just holding the cuffs and they're not applied. (00:40:05)
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)
Revealing mistake: When Ziva wakes up and has the sheet stuck to her face, Tony pulls it off. When he does you can see the glue patch on the page used to stick it to Ziva's face. (00:02:00)
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: 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)
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