Yes on both counts: EF-S lenses can't be mounted on FF cameras because of the position of the rear element, and some of them are very good. The EF-S 15-85 that you use was my walk-around when I had only a crop-sensor body. I still have my EF-S 60mm macro, which is a very sharp lens and a superb bargain.
While I agree that these are good lenses, and the images you posted are very good at this resolution, the images aren't much evidence about the quality of the lens unless they are substantial crops. Downsizing to 1600 pixels on the long dimension will hide any number of sins. It takes substantial crops or large displays, such as printing quite large, to make many differences among lenses apparent.