Everything you said, and then some.
Most don’t have a clue as to what’s going on as they are speaking, either. Sully is looking at air charts, his speed, altitude, slats, flaps, trim, weight & balance, managing his fuel, the distances he might need to glide to, doing the math, coordinating with his 2nd, who was, himself, busy, thoughts of family, and the “souls” on board...he was, I’m sure, extremely busy during those 90 seconds!
And yet, he was calm and focused like a laser beam.
>> thoughts of family, and the “souls” on board.
Nope - one of the characteristics of a good pilot is the ability to compartmentalize his life. In this situation, the last thing any airline pilot would be thinking about is Momma and little Timmy. Souls on board? Only as a number to be relayed to the controllers.