When Henry's secretary pours his coffee the first time he comes back to the office, she tells him to say "when" and start pouring the milk. It immediately comes to the top but she continues to pour. Next you see a close-up of the cup with her pouring even more in the cup but it's not at the top.
In the scene where Henry is asked to identify different wooden shapes as part of his rehabilitation, a nurse removes the wooden circle from the table when Bradley enters the room. When we switch angles and see Henry's face, the wooden circle has not been removed and is still on the table.
When Henry and his wife are on the patio looking at "The Big Dripper" and "The Little Dripper," it would be impossible to see them from where they were living because of what astronomer's call "light pollution," which is very common in large cities.
Henry eventually recognizes his wife, daughter, Eddie the doorman and the housemaid, but can't recognize any of his many long time law partners and colleagues. In fact, he becomes refamiliarized with the people he sees every day while staying in the apartment, and once he's in greater contact with his colleagues he does rebuild awareness of them (Bruce, Jessica, Cameron, et al.).
When Henry is first brought into the hospital, a dummy (made up to look like a woman) is visibly seen in a neck brace, in the waiting room.