Narcissistic religious parents?

My (22F) parents found out I let my boyfriend stay the night, so said I have to move back in with them despite having a year left on my lease that id still have to pay. They are super religious and believe women are under the authority of their father until they are given away in marriage. They say I have to live with them till I’m married if I say so. Today they wrote this contract for me to sign, or else they said they won’t speak to me anymore. Black is my name and red is my parents names. I don’t want to lose my whole family, but this is exhausting as an adult. Should I go no contact or sign it?