Other mistake: After resusitation attempts fail, Lucy is left alone with a dead patient whose phone starts ringing. At that point we can see the "dead" patient's chest rising up and down as he breathes (and he's not on a respirator).
Visible crew/equipment: Lucy is shown getting a coat from under the desk. Yosh comes up to her and says something, then opens the door and walks out of the shot. When he opens the door, there is a reflection of a man wearing headphones and holding a boom mic.
Continuity mistake: Mark is showing Lucy around the hospital and they go from an examination room to a trauma room - as they go through the doors, Mark is in front and pushes open the right door and we see it stays open. Lucy never touches it. But the shot showing them coming into the room has Mark letting go of the door and it swinging shut.
Continuity mistake: Carter and Lucy are standing in the middle of the admitting, where they are talking about a case. Lucy asks, "Does it resemble a Christmas tree?" and Carter's stethoscope goes from being visible over his lapel to being tucked under it.
Answer: Take care of your dad.