interference question

[MJT]

We had this one today, and we were pretty sure we got it right. Batter is out of the batters box and down the line a foot or two and turns around and is walking back towards the foul line when the catcher makes a delayed throw to first base to pick off the runner. The throw hits the batter in the helmet and goes into to the dugout. We said since she was out of the batters box it was interference and she was out and the runner had to go back to first. 99% sure we got it right. Do you agree?

Now, if it would not have been interference, batter in the box and did not do anything wrong, the runner on first would get 2 bases cuz that is the base she was on when the throw was made. Correct?