Ok so I have several issues I need cleared up regarding your post.
One is you said you were raped & molested by these men.
Was anything reported regarding these incidences? If you were under the age of 18 every single one could/should be documented. That's a lot.

But then in the next sentence you say you have a sex addiction....so I'm confused.

Were you raped or not?
There's a huge difference to be discussed.

So now you're 19 & have ONLY slept with 5 women.
Can I ask if you've been having protected sex? Have you done a full battery of STD testing since you've been sexually active?

Now you have someone you love & you feel "stuck" living with your mom.
Is that Bec you are the full time caretaker for your mom? Do you have an income where you can move out on your own? Does your mom abuse you now or is this from the past?
Is there some form of low income housing for your mom if she's on disability?

I'm confused.