I agree with the OP that it's a red shouldered hawk. One diagnostic feature is that the white tail bands are narrower than the dark tail bands on a red-shouldered, but not on a cooper's (or sharp shinned). In the 1st photo you can clearly see that the white tail bands are narrower. Also, the bird pictured doesn't have the dark crown typical of adult coopers or sharpies, and seems to have too much white mottling on the wings. In the 1st photo you can even see a hint of red on the bird's right shoulder.