Early in the story, as Ethan travels by automobile, the car passes a horse cart sitting on the shoulder of the road. Twenty-seven seconds later, the car passes the same spot. The trees and shadows near the horse cart are identical.
The 1964 Ford Galaxie 4-door police car shown in the teaser veers right to avoid the alien and turns on its right side. The direction of the turn and the momentum should have caused the vehicle to land on its left side, not the right.
When the "alien ship" leaves Earth and flies in space, a US Air Force star logo can be seen on the tail fin of the ship.