What is the meaning of the word "court"?

Definitions:

a room in which a lawcourt sits noun
- television cameras were admitted in the courtroom
a specially marked horizontal area within which a game is played noun
- players had to reserve a court in advance
an area wholly or partly surrounded by walls or buildings noun
- the house was built around an inner court
respectful deference noun
- pay court to the emperor
the residence of a sovereign or nobleman noun
- the king will visit the duke's court
to engage in social activities leading to marriage verb
- We were courting for over ten years before we finally married.
to make amorous advances towards verb
- John is courting Mary