In the grand jury scene, DA Hardin sees Peterson's attorney, David Rudolf, across the room. Hardin tells his colleague that Rudolf is a "high-priced lawyer from Chapel Hill by way of New York" and Rudolf has some unkind words to say about Hardin to his own colleague. While this makes for a dramatic moment, defense attorneys are never allowed inside grand jury proceedings like this.
The Bose Wave Alarm Clock shown in episode 1 was a model produced after 2001. The model available in 2001 would have been loaded from the top, not the front.