In advance, place shredded coconut in plastic bag; add brown icing color and knead until coconut is completely tinted; let dry on waxed paper.
Bake and cool cake in Soccer Ball Pan. Position on foil-covered cake circle. Spatula ice cake; use tip 12 to build up icing for nose. Roll out chocolate nougat candy to a 1 x 1-1/2 in. oval; position on cake for nose.
For ears, cut 1/4 in. off bottom ends of two cookies; ice smooth. Roll marshmallow flat with rolling pin and cut into ovals; trim 1/4 in. off bottoms and position for inside of ears on cookies. For whites of eyes, roll marshmallows flat and cut into ovals; position on cake. Pipe tip 6 black buttercream pupils, muzzle and whisker spots. Position coconut around cake for mane. Position 2 lollipop sticks for each ear support, leaving 1 1/2 in. extended; attach ears. Place cookie ears.