When Jack and Nadia are at Sloane's storage facility, Jack bends down to open the door, but when the camera angle changes, Nadia is the one letting go of the door.
When Sloane is injecting the cure for Nadia, the serum is visible in the syringe. There is a section of air between the liquid and the bottom of the pump mechanism. A few moments later, after he pushes Jack Bristow off of him, the syringe is filled with liquid all the way to the bottom of the pump mechanism.
When Nadia falls into the glass coffee table she is impaled by a shard of glass. For many, many years now, such glass would be tempered, meaning it would break into pebbles, not shards.