Something is broken if it is so badly damaged it can't be used for its original purpose. For example, a chair is broken if a leg has come off and you can't sit on it. The cup in the picture is shattered so badly it no longer holds coffee. Some things that are broken can be fixed, but not all.
A crease is a line that has been made in a surface, usually by bending or folding it. People get creases in their skin in places that move, like around their eyes. The piece of paper in the picture has creases in it from where someone has folded it into the shape of a paper plane.