Deform is moving my apple

Hi Joe,

That sounds like your Influence is too large. The Brush Radius is in Screen Pixels (default), so zooming in on the Sphere might already help.

You can also change the Radius to be in Scene size:

Also in this lesson it's just the basics. If you want a deep dive into Sculpting, you can watch the Sculpting Fundamentals:

https://cgcookie.com/courses/core-fundamentals-of-digital-sculpting-blender

Looks the same problem, there's an interior face that shouldn't be there. In face select mode, select that face and delete it. And maybe just for good measure, see if you have any double vertices, so select that ring of edges and M to merge by distance. 

Hi Ford Ford ,

I assume the top two images are the current situation.

There are several thing you can try; there is a Slide Relax Brush, and you can try the Smooth Brush, with the Deformation changed from Laplacian to Surface:

But the probably easiest way, is to go into Edit Mode and Select that area and its surrounding Vertices and then (right click or in the Vertex Menu) Smooth Vertices:

Then in the 'Adjust Last Operation' Panel, you can increase the iterations until you are happy with the result.

Maybe you need to use a combination of these techniques.

Example:

His images are edit mode as usual like you your images, only that perhaps Martin customized his vertices to look larger. Bad eyesight most likely, we're all there. 

Oh wait Ford ,

 I wasn't paying attention; you are using a Multires Modifier.

Then that Edit Mode Smoothing won't work. You could go back a few Sculpt Levels in the Modifier until the problem area looks okay and then slowly go up again, Smoothing each Level.

Or just start over and Delete Higher Levels.

Mesh Modeling mistakes are often fixable, but with Sculpting, it is usually easier to start over. Get into the habit to Save Incrementally often, especially when Sculpting, so you have 'recovery points' and you don't have to start from scratch each time.