The Chief takes his Comanches on trips all around the city. He sees the boys as gifts from God. The Comanches were a native group that looked upon their kids as gifts. The girls picture on the bus is Mary Hudson.
The baseball field is used as a sexual metaphor. The girls most hated base is first. From this we can infer that she wants together straight to the point. Her favorite base was third. Third base is anything below the waist.
The Laughing Man is a symbol of God. When he is killed he is tied down and shot in the heart. just as Jesus was tied down to the cross.