Persephone was born the daughter of Demeter and Zeus, also gods.
Persephone, being a goddess, could change the color of her eyes at will.
Yes, both Persephone and Artemis are sisters, being daughters of Zeus.
Persephone, being a Greek goddess, could change her appearance (and hair) at will.
Persephone does not have a personal city: the people of all cites die and come to the Underworld where she is Queen.
Hades, being the brother of both Demeter and Zeus, the parents of Persephone, was her uncle.
If you are asking 'did Zeus allow Hades to marry Persephone', then yes, he did.
Persephone, being a Greek goddess, may change her appearance (thus eye color) at will.
At first she was. She was very upset, scared, and miserable. But I do believe she has come to love her husband once she got over the initial 'being kidnapped' thing. Hades did not kidnap her for the sake of being creepy and scary. Zeus, Persephone's father, promised her hand in marriage to Hades. But Zeus neglected to tell Persephone or her mother Demeter about this. So when Hades came to claim his bride it turned into an abduction.
Being deprived of her daughter Persephone.
People read about her tale and liked it.
Demeter and Zeus had a child together.
Persephone, being a goddess of Greek myth, could change her appearance and form (thus eyes) at will.