The arm of Steve's suit is shown getting mud-splattered by the VW's gunning away, yet in the next shot of him apparently shaking off the wet debris, his suit is clean.
The story is always supposed to involve a squadron of five jet fighters, yet throughout the episode, there are occasionally only four planes shown.
When Captain Jan Lawrence is standing (in uniform) on the tarmac with Oscar Goldman watching the Thunderbirds, her hair is flowing over her shoulders. AF Regulation 35-10 requires female hair to be no lower than the collar. She was clearly out of regs. The same can also be said for Colonel Austin in just about every episode.
Modern fighter planes have jet engines and run on jet fuel, not gasoline. So the guards at the airfield would not have believed the gas truck's driver when he said that he was "bringing gas for the Americans' planes"; also, the smell of the leaking gas would have shown the guards that the truck was not carrying fighter-jet fuel.
The nose of the plane was not pressurized and not insulated. Flying at 20,000 ft would kill the prince by asphyxiation and freezing.
When Steve subdues a trio of thugs by throwing an uprooted tree on top of them, he's clearly supporting the (supposedly) heavy trunk with his left hand while running toward them.
At approx 17min, when Steve is having difficulty with his sight during flight, an external shot shows the exhaust of the aircraft flowing into the aircraft. The footage of the aircraft is being played backwards.
In one of the foreign air show shots, an upside-down plane can clearly be seen extending its landing gear. Obviously a re-used shot.
When Steve appears to set the back of his car down again after getting its bumper free from the VW's, his motion is rapid/jerky and the car drops abruptly with a "soft fall" motion like a mechanic letting down a car after changing a tire --- obviously an under-cranked section of footage and an ordinary hydraulic floor-jack holding up the car, and then being released from off-screen.
The USAF Thunderbirds never performed overseas while flying the T-38, thus making it impossible to perform an airshow in the Middle East. The T-38 lacks air-to-air refueling capability and the unrefueled range to make the hop over the Atlantic or Pacific. After switching to the F-16 Falcon, the Thunderbirds again took their show to the world.
In the opening sequence of the show, Steve is shown to have multiple electronic parts in his head, including his bionic eye. On his skull x-rays there is nothing foreign in his brain/head.
It's not clear why Austin would need to fly with the Thunderbirds. He could have been taken along as ground crew. It's hard to see why one of the existing Thunderbirds couldn't have carried out the mission anyway.