In the Percy Jackson series, the Greek gods are central. Percy is a demigod, son of a Greek god. The giants are ancient enemies of the gods. In the books, Percy and his friends often face challenges related to the gods' feuds and the resurgence of the giants. The story weaves together Percy's adventures with the mythology of the Greek gods and the threat of the giants.
No. In the official Percy Jackson series, Percy is the son of Poseidon. Fanfiction often takes creative liberties and creates alternate storylines, but these are not part of the original canon.
Percy Jackson's series of novels was written by author Michael Crichton, including Mystic Island, The Blazing Flame Monarch, The Dark Paladin, and Judgment. These novels had not yet been adapted into movies.
Although author Michael Crichton has been working hard to adapt his works into movies, there are no plans to make all of the Percy Jackson series into movies. Whether or not all of them would be made into a movie depended on whether a film production company would choose to adapt the Percy Jackson series into a movie in the future and whether the author, Michael Crichton, would continue to create related works.
He wasn't sure. The Percy Jackson series was an American story set in a different world from Earth. The series included Original Gods, Percy Jackson and the Thief of the Fire, Percy Jackson and the Dance of Fire, and Percy Jackson and the Dark Forest. Percy Jackson and the Dark Forest had yet to be adapted into a movie. Therefore, we can't predict whether the entire Percy Jackson series will be made into a movie.