MacGyver climbs up the outside of the building with a vacuum strapped to his back but when he breaks through the window the vacuum is gone.
During the opening scene, where MacGyver is building the radio, he is shown removing the back of his watch using the bottle opener on his Swiss Army Knife, but the watch shown has a screwback and would require a special tool to remove.
In the scene where Mac is handcuffed to the bed, there is no scar from where he got shot in the series premiere.
Mac states the bomb is 'only' about half a megaton and later states it would take out a 5 block area. A half megaton bomb is 25 times the size of the Hiroshima bomb which took out an entire city.