She is a former member of The Avengers:

She has been affiliated to the Team Avengers in the past, assisted them in investigations as she has superior detective skills. She possessed superhuman strength and an enhanced ability to endure physical injuries. She can even fly but somewhere lost it all and turned to private detective work.

Spiderman and Jessica Jones have something in common:

She went to the same high school as Peter Parker.

Purple Man is the big villain:

Killgrave or Purple man is the big villain in season 1. He has mind-controlling powers, he constantly plays with Jessica’s mind through his psychic abilities. There is a purple template in the trailer indicating how Purple man has colored her perception of the world.

Jessica Jones falls in love with Luke Cage:

In Marvel comics, Jessica has a love affair with Luke Cage and ends up having a child with him. In the trailer, Luke is shown to be a normal person without superpowers or maybe he is hiding it from Jessica.