I traveled with my mom (84 years old) to LA, to visit family. I wanted to stay close to the ocean but away from the party and crowds. This was a great find - Playa is a protected, lovely neighborhood and the 'tranquil perch' is simple, sweet, comfortable and clean.
As far as the neighborhood, be ready to take on a few hills if you want to walk to the beach. It's great for the legs!
Lastly, yes, LAX is conveniently close, therefore the sound of planes traveling above is part of the environment. It wasn't a bother for us and earplugs are provided for sleeping. All good!