The flags on the Presidential limousine, SS-100X, are reversed. The American Flag should be on the right fender.
In the Oval Office and Cabinet Room scenes, a State Department flag appears instead of a Presidential Flag.
The Presidential Standard is not used in the film, except on SS-100X, the Presidential limousine. In its place is a flag that looks similar to the flag of the Secretary of State.
Lee Oswald was fluent in Russian and wouldn't need to read a translation to ask a woman to dance.
On the morning of the assassination, Oswald removes his wedding ring from his left hand and along with some money puts it in a cup for Marina to find. Oswald married a Russian girl and in graced the Russian culture, his wedding ring would be on his right hand.
(at around 44 mins) When Lee asks Marina to photograph him with the rifle there are TV cable boxes on the wall beneath the stairs above the trash can, with numerous cables routed in and out of the present-day plastic service boxes.
When Oswald is being escorted by the police, seconds before his murder by Ruby, a modern fire sprinkler is can be seen on the ceiling.
The Oswald Hearse is a 1968 Cadillac S&S Victoria.
The panoramic view of Mexico City is clearly a modern shoot: the cars on the street are '90s and 2000 models, one distinctive Mexico City taxi cab - left hand side of the shoot - is a burgundy and gold Chevy, instead of the yellow or green Volkswagen Beetle typical of the time, and the towers of the Cathedral are restored. None of these items were present in 1963.