Jumbo - were you using a tripod ? The shutter speed is too slow ( normally anyway ) for a Moon which is constantly moving, which is why its soft / poor focus. Did you turn off VR too, as that can be detrimental when mounted on a tripod
Exposure seems fine, F7.1 is fine but f8 better, ISO is ok at it its lowest if you can get a decent shutter speed, but you didnt so i suggest you increase to 200 or 400. Aim to get say, 1/180th shutter, use remote and MLU, and use a tripod. Even hang some weight over the end of the lens for extra damping if neccessary. A quick lash up for a lens weight would be 3/4 fill 2 socks with seeds, then tie them together so they have a knot in the middle then drape over the end of the lens.
Set your lens up on the moon, get the focus sharp using LV, then move ahead of the moon by a few inches, set the MLU and when the moon moves into your focus point, fire the remote. This should get you a nice sharp shot.
Here's some examples I shot at 1/180th and 1/250th ISO 100 & 200.... some of the EXIF isnt right as i was using an old manual lens, but the SS and ISO are correct. The Aperture would have been f8 or f11
Tripod, MLU, Remote cable