While Jack is shooting at the prison guard who's shooting at Adrian, Natalie, and Jack, the pistol slide locks back (empty clip) in one shot. Then Jack fires a couple more times and runs out of bullets.
When Monk talks to Dr. Bell, Bell holds his glasses in his hand. In the next shot, showing Bell from behind, he is suddenly wearing them. In the next shot he holds them again, and later they switch hands.
After the first time Jack stands up to shoot at the prison guard (who is shooting at Adrian, Natalie, and Jack), Adrian confronts him about taking his gun when he ducks back down behind the shelter. In that shot there is something resembling an ankle monitor wrapped around Natalie's right ankle. As the camera closes in on Jack responding to Monk's charge, Natalie appears to duck down further while trying to pull her pant leg down over whatever is around her ankle. The mysterious ankle object is nowhere to be seen in the next scene. This is probably a wireless microphone transmitter pack.
When Stottlemeyer is knocking on Monk's front door, Monk and Jack Jr. are farther up the hallway. In the background, the chain lock on the door is not secured. Then, as Monk goes to answer the door, now the chain IS secured.
While Monk and Natalie are being shot at by the prison guard, ear plugs can be clearly seen while they are talking to each other.