Two-fold reply here.
Yes, chicks "play-fight" with each other, regardless of the sex. However, it has been MY experience that the boys usually are the more aggressive and the two who play-fight most often turn out to be roos.
As for adult hens' simulation of rooster behavior, here in my flock as recently as yesterday, I've seen a one-year old hen attack the rooster, both flaring and flying at each other. In another pen, a three-year old hen fully mounted a four-year old hen who was in a submissive crouch, grabbing her neck feathers in her beak, and crouching on top of her as a rooster does, although the motive was dominance and not mating.
And this morning, as she often does, another three-year old hen was crowing.
Close observation of your own flocks, especially larger ones, will produce similar phenomena over a period of time.