When Jack prepares to climb into the ceiling, he throws his bag on top of other bags on a shelf. The camera cuts back and forth as he positions himself to climb onto the shelf and then up through the ceiling panel opening, and we can see that the bag is gone. After he climbs through, the bag is on the shelf as he reaches down to grab it.
When Agent Manning arrives at Ontario Airport, the helicopter he steps out of is supposed to be running. As he steps out, you can see that the tail rotor is stationary, which could only happen if the helicopter was completely shut down.
Jack calls Chloe and sends her a picture from his cell so she can check the type of transmitter the terrorist has in his pocket. When he takes the picture, the terrorist is facing him, when he sends the picture, a brief glimpse of his cell shows the terrorist looking to Jacks right, his right profile. That is the picture Chloe receives.