The aircraft the Air Force pilots are flying is a Boeing Skyfox, a plane intended to replace the Lockheed T-33. The concept was actually a kit upgrade to an existing T-33 airframe. While several parties, including USAF, were interested, the program never really got off the ground. Only one airframe conversion was ever completed, registration number N221SF. It first flew on August 23, 1983. In the establishing shot when the plane is first seen, there is actually a T-33, the plane the Skyfox was intended to replace, parked next to it.
Chad Allen will later co-star with Shannen Doherty (who was in Airwolf Season 1 Episode 3 Bite of the Jackal) in "Our House"