Aerial Ace inflicts damage and is unaffected by modifications to the accuracy stat and evasion stat. It will not hit a Pokémon during the semi-invulnerable turn of moves such as Dig, Fly and Dive.
No, Hustle doesn't affect moves like Aerial Ace, Faint Attack et al. They bypass the accuracy drop that Hustle comes with.
Aura Sphere, Swift etc. won't be affected because they're special moves, which Hustle has not effect upon.