There is no way that Mac could have recovered from his gunshot wound that fast, to be able to climb ladders and do sky-car "acrobatics" just a couple hours later, especially since he'd received no proper medical attention up to that point --- just a simple bandage wouldn't heal him up that easily/quickly.
Supposedly takes place in Switzerland, but the roads have yellow center lines. In Switzerland, the center lines are white.
Pete says MacGyver has never fired a gun at anybody in his life. Yet at least twice in the series MacGyver has been seen firing a gun at the enemy, including for a brief couple seconds in the opening of the pilot.