To clarify #2, "yes", after you've landed and slowed to taxi speeds. It does not automatically pop up while you're in the pattern, if that's what you're asking. (It will bring up the Airport Diagram if one exists for that airport; otherwise, it shows you the Google aerial view of the airport. Both are georeferenced.)
You can manually pull up the airport diagram (if there is one) by tapping on the airport (or the "distination waypoint" instrument, if you have that displayed) to open the Airport QuickView pane. From there, choose "Plates...", and then Airport Diagram.
You can zoom way in on the map to see the Google Maps aerial view of the airport.
You can also put a runway marker on the map to help you with orientation for landing. From the QuickView pane, choose "More Options", then Extend Runways, then pick the runway(s) you want to highlight.