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)
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 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
Visible crew/equipment: When looking round the apartment near the end, the camera crew are reflected in the TV. (00:35:50)

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)
Revealing mistake: As Tony and McGee drive off the numberplate is reversed. (00:14:40)
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)

See No Evil - S2-E1
Revealing mistake: When the team speed into the lot at the end, tyre marks are visible on the ground from previous takes. (00:34:40)

See No Evil - S2-E1
Revealing mistake: Just as Gibbs and Tony head to Mtec, we see a close up of the webcam on the General's computer. Note the brand name. It's been flipped. (00:16:40)
Revealing mistake: The shot when Gibbs shows up to the scene, as Ducky examines the "deceased" girl, you can see a pulse in her neck. (00:07:00)
A Weak Link - S1-E22
Revealing mistake: When Gibbs and Todd are walking into the church, the camera shadow can be seen going over the seats on the left hand side. There is no-one other than Gibbs and Todd moving and the shadows are not possible from them. (00:25:00)
A Weak Link - S1-E22
Audio problem: When Gibbs tells DiNozzo to check every rope and D-link, DiNozzo says "You got it boss" however his mouth only says "You got it" (00:17:00)
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)
Chosen answer: It is never stated, however she must have been there several years if she is on presidential detail.