Other mistake: When Neela puts back on her scrubs after sleeping with Simon, she has no scar on the front of her body. Yet she was opened up in the OR after she was trampled at the rally.
What We Do - S15-E18
Revealing mistake: Sam's mother is standing at an open window, smoking a cigarette. The outside of the window is covered with some sort of frosted glass or ice or something (making it pointless to have it open anyway). Two shots later, we see her close the window from a different angle. This time, the window is clear and you can see the brick building next door. (00:19:36)
Shifting Equilibrium - S15-E20
Continuity mistake: When Dr. Rasgotra puts her name up on the wall of plaques, her arm is up. Camera cuts and it is back down instantly.
Answer: Take care of your dad.