Yep, that's a cockerel.
as an aside, a male chicken is a cockerel until he's a year old. Likewise, a female chicken is a pullet until she's a year old.
That would be best. Get a pic in really good lighting.
I'm going to say, it looks male to me, but I can't see the saddle well enough to be certain.
And if you have another rooster and he's dominant, it will take longer for a cockerel to mature and show his finery.