What Persephoen does is ultimately her choice.
In later classical traditions, yes. Older traditions say Persephone is Demeter's daughter through parthenogenesis (conceiving without intercourse).
Yes; Persephone had many half brothers and half sisters, from her mother Demeter and father Zeus.
yes
No Persephone was the daughter of Zeus, brother of Poseidon.
Yes. I asked my mum and she said so.
Yes, Hades is married to Persephone.
Yes; Hecate was the handmaiden of Persephone.
Yes, he loves the Disney Channel (his mum said).
Yes, Persephone loved Hades.
Hades had the approval of Zeus before he acted to kidnap Persephone, it was only Demeter who did not know what had become of her daughter; Persephone herself either accepted Hades or was tricked into eating from the fruit of the Underworld thus gaining domain beside Hades as his Queen (between the autumn and spring, Persephone was with him); further after Persephone was reunited with Demeter, their union was celebrated by the gods and goddesses of Greek Myth.
Yes, Persephone is the daughter of Zeus and Demeter, the harvest god. Persephone was abducted by Hades, god of the Underworld, to be his wife.
Yes.