With copy/paste, be aware that if the field names are not the exact same between your layers, you'll lose that information unless you configure field mapping in the edit settings.
If your destination layer is being symbolized by a field and there's no "other/null" symbol being displayed, it's possible the feature pastes in but then has no attribute to get it to render.
Can you check the attribute tables to confirm if the feature is really there?
- Josh Carlson
Kendall County GIS