Correct! Saber is the servant of Emiya Shirou.

Who is Shirou Emiya's servant in Fate/stay night?

Nice. Illyasviel von Einzbern the daughter of Irisviel von Einzbern & Emiya Kiritsugu.

What is the name of this character?

Unlimited Blade Works anime have a 2 season's and 1 movie. 

Yes. The 7 basic classes in the Holy Grail War are those.

Saber, Archer, Lancer, Ruler, Caster, Berserker & Assassin

Saber, Archer, Lancer, Rider, Caster, Assassin & Avenger

Saber, Archer, Rider, Shielder, Caster, Assassin & Berserker

Saber, Archer, Lancer, Rider, Caster, Assassin & Berserker

Nice! The first opening of Fate/Zero is Oath Sign by LiSA.

Bright Burning Shout - Takanori Nishikawa

Correct, Ufotable was in charge of animating Fate/Zero. They also animated Unlimited Blade Works and the Heaven's Feel movies.

Correct. Kayneth El-Melloi Archibald is the master of Lancer.

Correct. Astolfo or Rider of Black is a boy.

Correct. Lord Camelot is the Noble Phantasm of Mash. 

Correct! Saber in the Fate route, Rin in the Unlimited Blade Works route and Sakura in the Heaven's Feel route.

Medusa, Illyasviel von Einzbern and Medea

Artoria Pendragon, Rin Tohsaka and Sakura Matou

Mash Kyrielight, Ereshkigal and Ushiwakamaru

Nice. Mordred, Arthur Pendragon and Miyamoto Musashi are saber class.

Correct! Fate/kaleid liner prisma Ilya season 2 is divided in 2 parts. So the anime only have 3 seasons and 2 movies.