The breast markings look more like a Sharpie to me, but I wouldn't want to call it solely on that. I can't really judge the tail from that angle either. If you simply want to look at the odds, there are a lot of Sharp-shinned, and very few Coopers passing through right now.
The gull looks like a Great Black-backed. The mantle is a bit pale, but I don't see any trace of yellow in the legs, and the bill looks really massive. Were there any other gulls nearby? A Lesser Black-backed is actually a bit smaller than a Herring Gull. A Great BB is noticeably larger than a Herring Gull.
BB