Continuity mistake: During the fight at Aunt May's house, May knocks Tombstone out of the house with a bat. The subsequent shots have him back in the house.
Continuity mistake: When Jefferson cheers on Miles in the collider, his gun is missing.
Continuity mistake: When Miles is crossing the street to get to Uncle Aaron's apartment, in the close up shot of him a bus and Malibu stop, a car behind the Malibu and a taxi also stop, and a red Prius can be seen speeding off in front of the bus. Right after in a far shot of Miles the bus and Malibu are still there, but the opposing traffic cars have been randomly switched, with the taxi now being 4th in the line and the red Prius can no longer be seen, replaced by a line of cars never seen before, and a giant boxtruck.
Continuity mistake: When Aunt May first answers her front door it opens outward. Every other time the door is shown it opens to the interior as it should - front doors always open inwards.
Answer: It's a boarding school, but Miles wants to return to his old school. Miles made a deal with his dad that he would attend the new school and stay there during the week, even though he could commute as they don't live too far away. In return, he is permitted to go home at the weekend.