Twig punches Sach through a bookcase, but when Sach and Slip pull him through, Twig isn't tall enough to stick either arm through the bookcase to reach Sach. Even if it could be explained that Twig stood on a ladder or platform (which is never said), visually it doesn't look right. The arm that punches Sach wears a solid black sleeve, while Twig wears a dark coat with a criss-cross pattern.
When Sach enters the private gym, it is (and seemingly has been) unoccupied, yet the gymnastic rings sway.