In Greek mythology, yes.
Yes The Olympian Gods were: Hephaestus, Ares, Apollo, Artemis, Athena and Hermes. He had many, many others (demigods).
I don't think he has any major children... Maybe just demigods? According to one tradition Ares is the father of Eros and Anteros. + a lot of less famous demigods.
Apollo's father is Zeus, the king of the gods in Greek mythology.
Zeus is Apollo's father.
There are games demigods played, Hercules for instance founded the Olympian Games for his father Zeus.
Apollo and Zeus - her brother and father.
A demigod is a deified mortal, a mythological being who is half god and half mortal. Due to their divine parentage, demigods are able to accomplish super-human feats of strength and valor. Three Greek demigods would be Heracles (father Zeus, mother Alcmene), Theseus (father Poseidon, mother Aethra) and Perseus (father Zeus, mother Danae).
No Apollo is my father.
No. She was not unfaithful to Zeus.
Yes, Hercules.
Zeus and Apollo are father and son.
Uranus is not named after Apollo. Uranus is named for Uranus/Ouranos (Heavens) who was the father of Cronus, the father of Zeus, who fathered Apollo.