6 week old barred rock, is this a rooster?

[3Ms]

I am increasingly worried one of our six week old chicks is a rooster. Is there any hope that "Beauty" is a girl?

 

[Table4Six]

Cockerel

 

[chrissynemetz]

Sorry, but he's definitely a little cockerel

 

[danceswithronin]

Definitely a boy. He's pretty though.

 

[Trux]

Yup it's a cockerel

 

[3Ms]

Of course he is. He was the runt and became my daughter's favorite.

When will I need to rehome him?