Jack throws away the piece of fruit as he's arguing with Mac and Riley. A few moments later, when Mac shows the monkey the Swiss Army knife, the fruit is back in Jack's hands.
The rogue vehicle speeding along the highway never seems to pass other vehicles and yet when MacGyver steals the Camaro he passes some. Later when MacGyver jumps on to the rogue vehicle the 3 fighter jets are lining up for their strike run there are 2 cars in front of the rogue. If they had fired on the rogue vehicle these 2 cars would have been hit as well.
At Jack's high school reunion, his nemesis Jimmy describes his son as being "an ace left-hander" that is being scouted by the Toronto Blue Jays. But the photo on Jimmy's phone is of a right-handed pitcher with his glove on his left hand..