Red-Tailed Hawk?

If you see a bird with a red tail, and a generally hawkish configuration of the tail and wings, does that mean it's a red-tailed hawk? I didn't get a very good look at the head, but it may have been vaguely hawkish. There are hawks around here, but I've never been so sure of seeing one as I was today. In fact, there seemed to be a pair of them. They were not large birds.

I wondered if they were taking an interest in the dead squirrel that lay almost exactly in the middle of the road. That could be dangerous. I waited until no cars were coming, and then walked out to the center line. Not giving myself time to think, I kicked the corpse. It flew into the air and landed by the side of the road. I followed and kicked it again, so that it lay squarely on the sidewalk, and then got myself out of the road. It seems disrespectful, doesn't it? But it is in fact safer, for birds and animals that eat carrion, if their meal is not lying in the path of oncoming traffic.