>> They also ask me how I'm going to manage a team with these skills if I don't know them well.

That's the thing that gave me pause. Is that really a question that should be asked? If you're a manager you don't need to know your teams skills well do you? You just need to be a good manager, which is a skill, isn't it? So it seems like if someone is asking that question, maybe that's not a good sign. (I very well could be wrong on this, but my experience says I'm right)