[Note: There is more about controlling the default points insertion style here by John Evans.]
Our issue at Hubbard Engineering was that any points we imported or created were coming in with no label and only an "x" initially showing. We needed to change the default point style and point label style for points creation.
We tried unsuccessfully changing the Default Styles under General, Toolspace, Settings tab,
From what I discovered and can tell, AutoCAD Civil 3D always creates new points in the _All Points group, which is a system group. I can't tell a way to change this. I wanted newly created points to be visible, so I needed to go to General, Toolspace, Prospector tab, \Point Groups\_All Points, [right-click]Properties and select my desired point style and point label style. But my template drawing did not have an _All Points group.
I tried to create an _All Points group in my template drawing. But AutoCAD Civil 2009 would not let me create it, since it is a reserved system group. I wanted the _All Points group visible, so I created a group called "Hidden Points" using General, Toolspace, Prospector tab, \Point Groups, [right-click]New. As soon as I was finished creating the group, viola! the _All Points group also appeared.
Now I could go to General, Toolspace, Prospector tab, \Point Groups\_All Points, [right-click]Properties and select my desired point style and point label style. And my newly imported and created points look the way I want them to.
If you have any corrections or questions about this, let me know.