It's hard to see in your picture, but if the stranded wire hanging down in the picture is connected to the green screw behind the bracket and to your fixture, then you should be OK.

Yes the ground from the box and the ground from the fixture are both wrapped around the screw… thanks🙂

The brackets are already connected to one another. It makes no difference what part(s) of the metal the ground screw is touching. However, from what I can see in your photo, the ground wires are not correctly connected to the ground screw: 1) code prohibits more than one wire under a screw head (you have to use a pigtail with a wire nut), and 2) any wire must wrap around the screw only in the tightening direction (clockwise). If you don't understand how to install a pigtail, get help from someone who does so you don't create an incorrect and possibly unsafe wiring condition.