Thriller Character

My thriller character is about a fifteen year old girl called Alice and she lives in New York City with her mother and father. Her mother is a forty-five year old woman called Diane who is very quiet, isolated and suffers from a mental illness which she could have passed on to Alice because Alice portrays a lot of her mother's qualities. Her father is a strong business man who is fifty years of age and is hardly ever home because of his wife's growing illness.
Alice has extremely blonde hair, almost white, to her shoulders and she has very large blue eyes framed with light eyelashes. She rarely smiles, or frowns, most of the time she seems like she isn't all there. She doesn't hang out with anyone her own age, or hardly speaks to her family. When her father is home she will speak to him for hours about her day, and its the most she speaks all week. When her father is away from the house for days Alice will shut herself away in her room and only leave to go to school and other necessities. Alice doesn't speak to her mother, because her mother spends her days crying or staring at a wall in total silence. Alice fears that she will turn into her mother so stays away from her as much as possible.
Her mother tells her one day that her father is leaving them for another family, and Alice goes into a rage, ruining things in her room. Alice shuts herself in her room and doesn't even leave when her mother calls her down for dinner.
A week later, her father is reported as missing and when Alice's mother tells her Alice sits on the edge of her bed in complete silence and she appears to be quite calm and unfazed. Her mother, however, cries with worry about her missing estranged husband.
Does Alice have more involvement with her father's disappearance than she lets on? Or is she simply a fifteen year old girl ruined by her father's affair and her mother's mental illness?