No One's Gonna Harm You, Not While I'm Around - S1-E5
Other mistake: When Mitch is getting escorted out of the building, he gets in an elevator. Just as the elevator doors begin to close, Bradley Jackson jumps in the elevator to have a conversation with Mitch. As she does, the elevator doors continue to close, even though she has jumped right in front of them while they are closing. Elevator doors have a safety sensor, and the safety sensor would have been triggered by Bradley jumping in the elevator as the doors are closing, and the doors would have reopened.
That Woman - S1-E4
Continuity mistake: When Reese is interviewing Mitch's accuser, she takes her earpiece out and you can see it on her shoulder. The white earpiece then disappears and reappears when she has the encounter with Jen after The Interview.
Chaos Is the New Cocaine - S1-E3
Continuity mistake: Alex opens a bottle of wine. She takes the cork off the corkscrew with both hands and the bottle of wine spins from not showing the label to showing it. (00:37:55)
Character mistake: When meeting with the network exec in the bar in the opening scene, Bradley orders bourbon on the rocks. When her drink comes it is without ice.