I'm very sorry for what you're going through.
I emphatically agree that you should not discuss your BF's sexual or emotional issues with his parents. Short of him physically harming himself or others, these things should remain between the two of you. First of all, what he shared with you was presumably shared in private. Second, to the extent your BF has any shame about his feelings (and he probably does), you may unwittingly discourage him from seeking help. If you remain concerned about his wellbeing, then express that to him. Ultimately, however, he has to choose to get help. If you absolutely feel like you must talk about some of this with his parents, then only speak in general terms.
In my opinion, the sooner you extricate yourself from your BF's life--as painful as that may be--the better off you're going to be. I know you love him and are concerned about him, but just asking him to leave your house is just the first of many steps you're going to have to take to break up and move on. In that effort, I would encourage you to talk to a counselor or therapist. I don't want to pile onto your problems right now, but some of the choices you made in this relationship suggest to me that you could benefit from some professional guidance both in understanding what went wrong and how you can move forward into a happier and healthier future.
Peace to you.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher