In other words, it seems to me that the first things to do should be to see where we are, connect with people rather than making things up. How can you propose first actions without at least basic understanding of where you are?
I like questions 5+ much better, but still these seem more suited for interviewing an experienced individual contributor, not a team manager.
How about setting up a team? How about hiring? How would you define and split tasks, assuming we agree on tasks? What kind of testing would you personally do, which would you delegate to QAs and which would you require to stay on the dev team? What would you do in situation X? (any difficult multi-optimization problem where people, technical and philosophical issues are to be considered)
I can imagine a great individual contributor to ace every single question on ths list, and then fail utterly when he has to manage even 2 people effectively.