Chez,
Don't see much rodeo around here. Mostly city folks I guess. I definitely prefer the second B&W shot both for its composition and for your treatment of it. Nice photo, though I have to say that big gelding sort of looks like he's loafing there coming home
The first shot needs to show more of the horse. In a rodeo, there's two players, and you chopped the big one in two. Judging from the expression on the face of the rider, I can only imagine the look on the horse. Is this the crop out of camera or do you have a wider view? I would love to see it. Everything else looks good.
I like the first pic of the girl. The horse looks stretched out with good sense of motion and speed. In the second, she looks like she just lost the reins and is grabing for the mane. If only she would open her eyes! Nice B&W.