At the start of Beck and Peach's confrontation Peach is holding a cellphone. By the end Peach is holding a purse and no phone.
"The Count of Monte Cristo" by Alexandre Dumas is 1100 pages long in a 6x9 format. The book Joe hands the boy is 4x7 at the biggest and less than an inch thick. Even with extremely thin paper and squeezing the print to an almost unreadable size, trying to pass this book off as the Dumas classic is not only improbable, but impracticable from a publisher's point of view. Even heavily edited versions are 500+ pages, also unlikely to be the book shown. Plus, no purveyor of early editions and lover of books is going to hand an avid young reader some "child's" version (also unlikely due to the age and condition of the book shown), particularly since the lesson being taught is "living with the enemy" and those parts of the story that exhibit that lesson are extremely, if not completely, edited out of shorter versions. The book shown cannot possibly be "The Count of Monte Cristo".
The process of landing an agent in the show bears no resemblance to reality. Agents don't sign authors who don't have a manuscript to sell, and they don't sign clients off of conversations, but off of submissions.
After Joe was beaten up by Ron, on the left of the screen and camera is visible on the stairs.