I know I am throwing out an idea that is very far-fetched, but is it possible that Rice is a bilateral gynandromorph? It is said to happen about every ten thousand chickens hatched, which seems like too much of a common number, but that may be true.
Both are pullets. Crowing hens sometimes happen, and there is no way you can stop it, especially if you already have a rooster. Hens can start acting more like roosters (and growing rooster-specific feathers) for two main reasons:
They are attempting to show their dominance.
They have something...