When Josie opens the plane door to let Neil in she wears a red jacket. When she stands in the open door the jacket is off, when she closes the door there is a short back shot of her with the jacket on, after that it is off again.
At 56:38 passenger opens door on plane. This is impossible for the simple reason that cabin pressure won't allow it. An aircraft door is like a drain plug, held in place by the interior pressure.
The scene showing the plane taking off is incorrect: all planes land and take off in the same direction on a runway.
In the first scene with the the airborne jet the navigational lights are backwards. The red navigational light should be located on the left wing instead of the right.