In the opening gambit, when MacGyver picks up the car with the forklift, the right-side fork goes through the passenger door window and out of the windshield just in front of the driver. The scene cuts to a long shot and the fork now exits from the driver's side door window.
When the guard is sent to replace the man watching over MacGyver he is wearing a gun belt. When he gets to where MacGyver is, he is no longer wearing the gun belt.
In the junkyard, when Mac is trapped in the back of the car, the forks of the forklift break all windows, front and rear while picking it up to put it in the crusher. When Mac is pulling the rear seat to escape through the trunk, the driver's side rear window has magically reappeared, intact.
General Narai's Hughes 369 helicopter has a US registration number N58428 which would not be used in Burma.
When Chan brings MacGyver his pocket knife to cut himself free, the blade was still tucked inside, and there was no way Mac could have opened it with his hands still bound to the rack like they were.