Continuity mistake: In the flashback to 1920, Kendra flips the calendar to October with a snowy mountain side picture. Later when she's talking to Carter about leaving, the calendar is now on September with a trail through the grass picture. It goes back to October when their son comes in.
Continuity mistake: In the scene aboard the Waverider when the crew discusses their discovery of the Oculus, the first two times you see Sara sitting on the Captain's chair from the back she's leaning forward with her elbows on her knees. When you see her from the front, though, she's sitting with her legs crossed and her right hand on the control panel, and in a following shot you can see her actually change her position and lean forward. (00:23:45)