Steve and Carlos start their flight in a McDonnell Douglas F-4 "Phantom II", but during the flight you'll see a (single-seat) Lockheed F-104 "Starfighter".
The pitched basketball that Steve catches is much nearer the hoop in the wide-angle shot than it is in the close-up shot when Steve bionically jumps to catch the ball.
Steve says to Carlos he will see him at 8:30 am, after the flower pot falls and hits Steve he reminds Carlos that he will pick him up at 8:00 am.
The chin-strap on Steve's helmet is not fastened, and switches handing freely from the left and right likely due to the film being flipped, during the flight with Carlos; an experienced fighter pilot would never forget to fasten his chin-strap, and being a role model for Carlos, Steve would not set a careless example by neglecting to do it, either.