Nope. Still a red tail. Immatures have striped tails. All that white in the front without barring says red tail. A clearer pic, and one from the front, would have been appreciated, but it is what it is. Cooper's and sharp-shinned have solid-color backs without spots, tails are longer in comparison with the body and striping is more defined.
Qualification statement: I do bird ID for a living.
Cooper’s are more rare than than sharpies. We have a coopers pair in Madison county just south of the Meyer store. Seems they love the birds on the signage in the area. Both are rather rare sightings in Indiana but not totally uncommon birds. When I asked a “birdie” if what I saw was a coopers or a sharpie he said to look at size and the tail. Male Coopers (adult) are the size of a crow and sharpies are the size of a large jay. Coopers will have a rounded tail and a sharpie will have a flat tail. He said the tail was the easy one if you see it in flight. Size is hard in flight as you have no basis to tell.
I think he gave you some bad information as far as the tails. Coopers and Sharp Shinned are both from the genus, accipiter, and have the same style tail. A Red Tailed Hawk is from a different genus, buteo. They have the shorter, more rounded tail.
When I was working for the Peregrine Fund, in West Virginia, we watched over 7 young Peregrine Falcons at a hack site. Toward the end of the season, when the falcons were getting pretty good at flying, they'd like to play around in the evenings when it cooled down. They'd fly out away from the cliffs and chase around with each other.
One evening, we did a double-take and realized that one of the falcons was actually a Coopers hawk, an immature like the falcons, come out of the thick forest to get in on the action. It was very cool to watch them play, especially with the two contrasting "styles". The Peregrines would try to lure the Coopers out into the open, so they could quickly rise up and then suddenly dive down on him. The Coopers would lure the Peregrines into the forest, dodging quickly around the trees before coming around the other side to catch the Peregrines by surprise. That Coopers hawk came out to play for a few evenings, then we didn't see him any more.
I wasn't paid much for that job, but those were some good times.
I got out my old Indiana List and counted 161. The last new entry was Red Breasted Nuthatch in 2006.