That's an amusing taxonomy, but don't fool yourself into thinking this stuff can be so precisely and unambiguously delineated. There's a continuum between a province with some autonomy to fully-fledged independent nation state, and the application of various English words to refer to particular entities that lie in different places on the continuum is governed primarily by history and culture, not by legal and political specifics. For any set of properties you care to define for nationhood or statehood, you can usually find entities that are not evenly cut into one or the other.

The Commonwealth shares a head of state; for example, Canada would be a sovereign state (small s) within the terminology of the Commonwealth. The Common Travel Area has passport-free travel; Irish and UK citizens can vote in one another's national parliaments, while EU citizens generally can only vote in local and EU elections. British crown dependencies are distinct from its overseas territories. There aren't enough shades of meaning in the miserly handful of terms you defined above (and seems rather German-centric) to adequately cover all the dependent and independent relationships involved.