When Soviet sergeant is driving a jeep, following Afghan militia man, the Afghan is carrying Enfield No 4 bolt action rifle. When he dismounts to search cabin he has Tokarev Semi-Automatic rifle and when he enters into cabin in search of Khalil he has again Bolt action Enfield No 4 on his hands.
Near the end, when MacGyver drops the rock onto the jeep, one can see that there is an explosion *underneath* the jeep before the rock hits the jeep. Furthermore, the rock must weigh at least one ton, yet it bounces off the jeep as if it were made out of plastic. A boulder that big should have crushed the vehicle.
When MacGyver fashions a hang-glider to escape from the Russians and Afghans he no longer has a parachute, but long shots clearly show a parachute pack on the back of the hang-glider pilot.
At one point the soldiers are firing a mortar to try to hit something just on the other side the hill. A mortar would not be able to do this since it would have to practically point straight up to do this. They are only designed to hit targets much further away.
The gang across the river in pursuit of MacGyver hurt, a rider and his horse fall, while another riders stop to help him.