In the first scenes in the classroom, Rei Ayanami's sling is tied so that the front part goes over the left side of her neck. In the next scene (a close-up), the front part goes over the right side of her neck instead.
In the sequence where Shinji is beaten by Touji, there's a general shot at which Shinji is pushed by Touji to the ground with both hands, but in the close shot, Touji appears showing his fist after hitting him.
Shinji falls to the ground, but the sound of the punch is not heard. And the sound of the body falling to the ground is heard a half second later.