Stoner's jet takes off vertically but does not have any kind of directed thrust to make this possible.
The T-38 'Talon' jet used does not have gun or rocket capabilities. It is a training plane used by NASA as a chase plane for the Space Shuttle and used to train astronauts. This plane would not have been able to have aerial combat with Airwolf.
When Dom is flying the Santini Air chopper and Hawke and Megan are in the back looking at the map, all the external shots of the helicopter are reversed; the Santini Air text painted on the side is backwards.
When Hawke gets into Santini's helicopter after meeting The Firm out in the desert, there is an obvious video edit right before the helicopter takes off. The people inside the Santini helicopter appear to jump.
As Hawke and Dom stand by the Santini Air chopper in the desert talking about psychics, the sound crew (including the boom mic) is visible reflected in the helicopter window behind Dom and to the left.