I think you're trying to say that you believe this is a cockerel based on behavior. Only the behavior described isn't normal for male or female chicks. Are they crowded? Getting proper nutrition from good chick feed?
Generally, they start pecking order antics around 3-4 weeks and it's standing tall, bumping chests, maybe a peck. If they have room, you might see a flying foot shove. As they get a bit older, they'll get more serious about it and flare/charge at each other. None of this is gender-specific. Really, the only behavioral tell is an attempt at crowing because pullets don't crow.