I do not like that first horse at all. Looks like it is a hard to control horse that is kind of all over the place. I am sure with a little fixin you could get it to run a clean run, but not a good looking mount as is.
If you are capable of training, or hiring someone to train your horse and wait, then I'd say she would be a great horse. I'm not a conformation expert, so I'll just stick with smrobs on that. If this is going to be your first barrel horse, however, I would not suggest getting a younger horse because they need someone experienced to help them get better and faster. If this is your first barrel horse look for a grown, seasoned gelding or mare.