Continuity mistake: In the bowling alley, 'Pal' comes over to speak to Tia. During their conversation, the camera pans to Maisie throwing a bowling ball; however Tia is now sitting alone. Pal has disappeared. (00:40:10)
Continuity mistake: The scene where the elementary school teacher asks his kid what they did that week. After he asks that question and Maizy raises her hand, look at the desk belonging to the girl in the row next to Maizy. It has crayons and other supplies on it. After the teacher calls Maizy's name, the shot goes back to her, showing the girl in the next row's desk completely empty. (00:58:00)
Answer: It's never explained, but the best guess is the hat was an Ushanka hat which is often associated with Russia. At the time, there was a lot of Soviet Union controversy so being associated with supporting the Soviet Union could have angered many people.