N4891F was a Piper PA-28-181 model which is designated as Archer II. It was neither stylish nor swift, as the narrator stated. Piper is the at low-end of the aircraft spectrum, as for example Kia is in the automobile world. The Archer's cruising speed is documented at 125 knots which is slower than most fast aircraft. For comparison, a stylish and swift airplane would be a Beechcraft Bonanza or Mooney Bravo.
The narrator states that the transponder on N4891F provided only information about the airplane's direction and not altitude. Transponders on airplanes do not provide any directional information, especially not in 1986. Transponders can provide the aircraft's identification code (in the basic mode 3A) or also the aircraft's pressure altitude (in the advanced mode C).
The narrator states that N4891F flew at 3000 meters while it flew only at 4500 feet, which is about half the altitude stated. American and international aviation uses feet as a unit of measurement for altitude.
The radar in the dramatization shows the triangular symbol belonging to the Grumman Tiger with its call sign 66R before the dispatcher even assigns the aircraft a unique transponder (squawk) code. At that time, the triangle should have had no markings or identification signs on the screen.