Rei hates men in the manga, thanks mostly to her father and another guy who broke her heart.
Her father, named Ryoji (I think) in the live action, was a politician who never paid attention to Rei or her mother (Risa in the live action) despite the fact that her mother was sick and had a weak heart. Her mother was always sad and depressed, a fact that Rei blamed on her father, and died when Rei was young. Her father, instead of taking Rei in, placed her in the care of her grandfather at the shrine only to see her once a year at her birthday. He eventually stopped doing that even, sending Kaido (the guy who broke Rei's heart) in his place.
I don't really remember about Kaido, except that he told Rei that he'd never get married but he did anyway in order to further his career as a politician.
Many of the Senshi have kind of sad families, actually.
Minako - doesn't get along with her mother.
Rei - explained above.
Ami - mother always works, being a doctor at the hospital. Father, a painter, abandoned her when she was young.
Makoto - parents died in a plane crash, hence her phobia of airplanes.
Hotaru - mother died when she was 8, father became possessed by evil and eventually dies. Unlike in the anime, he never turns good again and he never comes back to life.
Mamoru - parents died in a car accident on his sixth birthday, when he lost all of his memories.