In The Lion, the Witch, and the Wardrobe, every individual must take full responsibility for his or her own actions. When the responsibility is too great, someone else may step in and take it from you, but only when absolutely necessary. The powers that be do not assign blame for failure, but people who learn to accept their own failings will take responsibility for them anyway. Blaming others for one's own problems is demonstrably foolish. Getting caught up in cycles of guilt and blame may interfere with the work that needs to be done.
Peter is guilty of pushing Edmund further away and treating him rudely, which, although a small transgression, contributes to Edmund's larger betrayal.