When John and Derek are in the park watching two boys practicing baseball, the older boy hits the ball to the right of the little boy. In the next shot the ball is rolling to the left of the boy.
In the Science museum John Connor is describing his angst at not having a proper birthday. Cameron remarks "but it was 16 years ago". Although John is physically 16 they have time traveled 7 years into the future and so it was actually 23 years ago.
John explains Moore's Law to Derek: "The guy who found it at Intel said that every two years [the] number of transistors on a computer chip doubles. Thirty years ago it was an observation, now it is a law." Intel co-founder Gordon E. Moore first observed that transistor counts had doubled *every* year in a 1965 paper - that's *forty-three* years before the events in this episode. The term "Moore's law" was coined around 1970, *thirty-eight* years before the events in this episode. Only in 1975 did Moore alter his projection to a doubling the number of transistors every two years. That's closer to the 30 years John says, but by that time it was no longer "an observation".
Dixon's LAFD ambulance has regular civilian license plates instead of the "CA EXEMPT" tags it should have.
There is a typo on Sarkissian's passport. One date is recorded as March 2, 20015.
As the last FBI agent sinks in the swimming pool to cover the camera, the air bubbles are clearly streaming *into* his mouth rather than coming *out* from it. The camera was run backwards to make this shot.
If the missiles going in the sky right above the head did explode there, Kyle and Derek wouldn't have got enough time to go underground to save themselves.