My boyfriend wants me to take the lie detector test

Well like the title say, my boyfriend wants me to take the lie detector test.
Since I met him, he has ask me way too many personal questions, some of them I lied but with time even if I felt uncomfortable I did tell him everything(obviously 'cause I just like met him/just for a few days), even the ugly parts of my life yet he doesn't believe me. Even a good friend of mine told him to confirm that what I was telling him was the truth, I told him I can't do much about it, if he believed me or not. I fought with him about it, just to tell him the same story and have myself crying about it, cause I don't really like having those memories back, specially if I'm trying to forget about them, cause he wasn't even present in those moments (his excuse is "it doesn't make any logic") and just justify or bring the bad/horrible memories of my past or my mistakes, he tells me he trusts me but just keeps telling me to tell him the truth. Since he doesn't believe me, cause apparently it doesn't ad up or it can't be that way, he wants to take me to a lie detector, well the idea totally upsets me, cause it shows me that doesn't believe a word a say and just thinking about the questions, gets me upset and depress...
And I know I'm not lying, cause I know what happen, what I did, the mistakes, and obviously it gives him more reason to think I'm lying but I just don't want to remember them.
Most of that past involves me getting rape two times, yet I kept being around the guy and I was weak the dude weighted twice as much as me, before everything happened I barely ate anything,I'm not really sure if its Anorexia or bulimia but I got weak and pale (I had a poor diet) and well at the time it happen I was in middle of recovering,and I also have a really bad self-esteem problem, still. I felt I was going to be alone forever, I felt people will blame me (like most people are like , always blaming the women) and I would be looked down upon. I do understand I did mistakes. And I thought at the end that I liked him or even love him, and glad I didn't end up with him and manage stop the madness, cause in reality I didn't and never loved him, I was just blinded and depress with a really bad self-esteem problem and this stupid guy just fed it more,sadly I never reported him (my stupid mistake) (and I ended up with a nerve wrack..I'm always nervous no matter what). I do admit I'm at fault for not going to the police instead of standing it for a long time.
And I've told my current boyfriend everything yet he keeps insisting in putting me through it even if it hurts me to remember. I don't really like hiding anything specially from them ones I love , I like to be an honest person, cause I would like other's to lie to me...
Do you believe it's fair?