1) The document provides advice for a new manager of an analytics department in the form of "rules of thumb" or heuristics to follow.
2) Some key heuristics include hiring entrepreneurial people rather than employees, inspiring people rather than controlling them, being skeptical of plans and projections, ensuring people have "skin in the game", and recognizing the need for both technical and business skills.
3) The document argues intuition can be misleading and provides examples like the Monty Hall problem to illustrate biases that can occur.