Continuity mistake: When Cooper draws on the board and talks about landing on water, his drawing changes between shots. (01:04:25)
Continuity mistake: Cooper is saying goodbye to Murphy. Her necklace jumps in and out of her T-shirt throughout the scene. (00:38:25)
Continuity mistake: When Murphy pleads with Cooper to stay shortly before he leaves, as she shows him the message "STAY" on the notebook, in the first shot she looks down, but in the next one she looks at Cooper.
Continuity mistake: At the beginning of the movie when Cooper and the kids arrive to the lake after they took the control of the drone, Murph steps out of the truck and leaves the door open, but in the next shot the door is closed and it's sure that in the entire scene there's no sound of a car door getting closed.
Answer: Cooper would have already met his other family members (grandchildren and great-grandchildren) when they first arrived at the space station and before going in to see the frail Murph, who made the trip while in-stasis. Because she is so frail, everyone would discuss beforehand how the meeting should proceed. Also, it is already a long-running movie, and adding an extended "meet and greet" scene would drag out the ending and lessen the emotional reunion between Cooper and Murph.
raywest ★