After MacGyver has his hands zip-tied behind his back, he is shown using a heater element to melt the zip-tie thus freeing himself. But during the close-up showing him melting through the zip-tie, you can see that the zip-tie was so loose that there was a 3-inch gap between his hands leaving plenty of room for him to have just slipped it off.
When MacGyver uses his Swiss Army knife to break into the Kasanti Property Management service entrance, the door opens and closes the wrong way for him to have been able to use a knife to move the lock latch in the way he did. Also, when the door is open, the edge of the door can be seen to have no lock mechanism or latch by the lock, showing that the lock is a dummy.
The sign for Tattoo's by Mo is grammatically incorrect. It shouldn't include the apostrophe.