When MacGyver is in the jail cell, he tries to pick the lock with a bent wire - from the *inside* of the cell. There would not be a keyhole on the inside of a jail cell.
Attempting to remove venom from a snake bite as MacGyver does will not work. Essentially as soon as the bite occurs, the venom begins circulating in the blood and lymph systems. It's an old wife's tale that one should do it.
Even though there is a blood stain on Mac's shirt from a gunshot wound, close ups show there is no bullet hole in the shirt. It's just a stain.
Mac gets shot in the chest, as shown by the spot of blood on his shirt, but he doesn't suffer any real effect of such a serious injury.
Major Krik tells his hostages "In two point five minutes you will burn to ashes, along with the archives," but then starts a bomb timer counting down from one minute and fifty seconds.
Opening scene is allegedly happening in the 1990 Bucharest, yet nothing seems to be remotely close to that actual place, but rather typical North American city (cars, buildings, side walk and even that entrance directly from street level towards a basement).