In the book, Bruno's family has to move because his father has been ordered to relocate on the orders of the Fury (the Fuhrer, Adolph Hitler). Essentially, Bruno's father has been promoted to a Commandant position at Auschwitz, and this is why the family has to leave their house in Berlin.
D. by sacrificing her own life. she was left with a rifle so when Bess saw the highway man she shot herself so the highway man could realise there is danger