On spheres, I just had another go and got some weird results, but I did manage to get a sphere by using a different method from the one I used to use. I was using SketchUp 8 (I think, or 7) before which was a bit different (for example it had the 'follow me' tool as a button instead of a menu item, which I preferred - I've looked hard for a way to create a button for it in SketchUp Make, but perhaps that's only now in the 'pro' version.)
By making the guide circle a group, and then positioning the thing to be made 3D very precisely above its centre and not touching it at all, and then exploding the group, I managed to create a sphere. A warning message flashed up for an instant, but I couldn't read it before it disappeared.
I then went into my current project to repeat the feat. No luck! The results seem quite random. Sometimes it disappears, sometimes it becomes a 2D object with bits missing, and other times it becomes a bizarre 3D shape that defies description, but which involves lots of apparently random missing bits and even floating pieces.
I never had this much trouble with spheres in SketchUp 7 (or was it 8? - it might have been 5 or 6).