Beard isn't related to gender, it's a genetic trait.It has all the signs of a rooster the beard, the saddle feathers. The attitude attacks everything Spurs things and it is my only chicken that I own. It's an indoor chicken and one day we left for the whole day he was in his cage and I came back and there was an egg in it
Her saddles are rounded, not long, & pointy.
Hens/pullets can display everything you mentioned.
Chickens are flock animals, & don't do well by themselves.