When Kimble comes out of the medicine room to hide the keys on the desk, he does not lock the door. When the nurse checks the door later as she was reviewing the chain of events, the door was locked.
Kimball left the note to the Warden to clear Deming (Greg Morris) of any wrongdoing and save his chance at parole. But Deming admitted to the Warden that he was aware of Kimball's identity which would still be an indictable offense and grounds for denying his parole.
When Greg Morris says "cop lover" to Kimble and then turns to walk away, he bumps into the parked car.