When creating detail views (Callouts in Revit speak) you have the choice of Detail View and standard Floor Plan or Section.
You also have this choice when creating a new Section (but not a new Floor Plan).
Floor Plan types have the same parameters as standard Floor Plans.
A Floor Plan callout reference bubble only appears in the view it was created.
Depth clipping is controlled by View Range settings.
Section types have the same parameters as standard Sections.
A Section callout reference appears in all views it cuts but can be controlled by using the Hide scales coarser than parameter.
Depth clipping is controlled by Far Clipping and Far Clip Offset parameters.
1. You can create another Detail View inside another Detail View, but you can NOT create a Floor Plan view or Section view inside a Detail View.
2. Detail views don't distinguish between plan or section, that is they are both simply called Detail Views (However if this is important to you new Detail View types can be created, e.g. DETAIL PLAN, DETAIL SECTION).
3. Detail views that are created with the Callout command (i.e. that create a bubble reference) have a parameter call Show in. Detail Views created with the Section command do not.
If this parameter is to Parent View Only the detail's reference will only show in the view it was created in.
If it is set to Intersecting Views it will show in any view the includes where the detail cuts through.
When Intersecting Views is selected the Hide at scales coarser than is active.
Use this parameter to hide the detail reference at scales at or less than the scale selected.
Note that Sections have the Hide at scales coarser parameter, but Floor Plans do not.
4. The depth of a Detail View can be the same as the referring view, or independent.
Far Clip Settings can be set to Same as parent view (default setting if you don't change it).
If you set Far Clip Settings to Independent and change Far Clipping to something other than No Clip the Far Clip Offset parameter becomes editable.
Typically for a construction detail you would set Far Clip Offset to be something like 100 or 200.