First Week as an Engineering Manager

I'm reading James Stanier's "Become an Effective Software Engineering Manager" book, which my mentor recommended. I would like to have some notes and my additional thoughts somewhere. I assume that this blog is the perfect place.

The book's first chapter is dedicated to a first week in an engineering manager role. So, what to do?

1. Observe team's and managers' behaviours and expectations. I would add peers here. How do they feel? What is important for them?
2. Introduce yourself to the team in the most natural way possible. It is better to split introductions into a general introduction to the whole team and 1-2-1 introductions with every staff member.
3. Create a meeting with a manager to understand performance metrics and expectations from his point of view.
4. Understand the scope: individuals in the team, priorities, current project, workflow. It would be valuable to get advice from everybody. People can recommend it a lot!