You shoot one and another will move in. I see no percentage in shooting Hawks. Unlikely to be an up side, likely to be more trouble than it's worth.

Most are gun shy, a few shotgun blasts into the air (or fire crackers) is likely to encourage them to move on. Most times I just clap my hands loudly and they move on.

Most Hawks are afraid of birds bigger than they are. I had no Hawk issues when I kept three Geese and a Gander with my chickens.

Guinea hens go nuts anytime there is a Hawk around. The down side to Guinea hens is they are not good breeders and dumb as rocks. Some take off never to return, they are likely to move into a neighbors tree a hundred yards away. Your flock of Guineas slowly shrinks down to nothing.

I put a large pile of smaller branches around, Guineas sound the alarm and the Chickens head for the coop or the brush pile. Geese get combative. A small blackberry thicket also works well.

Long range tactics and planning are more likely to get results, picking off a few Hawks is unlikely to be effective.

And lastly what goes up must come down, where is that bullet going after it hits a Hawk. You are responsible for it.