Neptune, was the Roman equivalent of the Greek Poseidon. I've never heard of any other names for him.
Neptune
the function of Poseidons temple was for Poseidons honor.
Rhea.
cronus
Cronus and Rhea
a trident
Triton
Rhea.
In myths, he does not have one.
Swimming, fishing and women.
The sea, particularly the Mediterranean.
you don't