Giving him another chance?

I started dating my bf on June 23 2013. At that time we were on the honeymoon stage and everything was fine . Than August 2013 his father past away from a sudden heart attack which was and still hard for him. My father and me went to give our respects. Which my father never really met his family and this was the first time I was going to meet his own mother on the worst day of her life. My heart was hurting for my boyfriend which made me cry while during the service for my boyfriend's father which I only was dating for 2 months at the time of the death of his father . So than my boyfriend started becoming withdraw from me and I suddenly while trying to find my blue-ray movie yet found 1 day in 2015 while he went to take his shower 2 different Hallmark 1 was a anniversary card and 1 was a Valentine's Day.. both signed address to my own bf and signed by another female who he started saying she was "a friend " " she was dealing with issues with her own boyfriend Do not worry about ! And she just crazy Mara " He tells me after I questioned why was her name signed "Love Always & Forever " and fast forward my own boyfriend even kept saying after I keep seeing the female and my boyfriend in Non-photoshop photos on this same other female's Instagram and also all over her Facebook which he finally says to me " I gave him the idea of the open-relationship" since him and his own guy friend were talking about an open-relationship with my boyfriend his friend and myself at the time . Yet I never agreed to anything like how even after my own boyfriend had a man to man talk with my own father before sadly in 2017 my father past away from cancer . Which was the worst day of my life for me . And my own boyfriend went and was late coming for my own father's service that day . Yet even though my fake love with the bf which I call it is .. how he tells me he had to work so many nights which never truly probably not that always truthful and how I never respected my bf and It was always about money yet I became homeless after my father past due to my own family issues. Than I find out that during the hardest times between 2015 until January 23 2020. Is when he had been dating the same female and had told his own mother that him & I had broke up and that I had found out by his own mother that he told her that he and I had broken up yet never was at all true on anything nearly at all. He than. Kept saying why I had told his mother on how he spent at least $2,000 on 4 different engagement rings which he tells me he was forced by the other female into buying her those 4 rings and than claimed how she was greedy and never paid him back for anything which I noticed he also says that to everyone and even to me back when we were in love . He told me that he went to jail on January 23 2020 after he says that the other female became physical and verbally abusive through out the past 3 years. Which I kinda confused on how he had never was physical and never would hurt me at all and when I asked my own boyfriend to become physical during sex or even just out of no where to test my bf he never would go through with any thing physical with me . He told me he could never hurt anyone because that not who he is .. Yet all of sudden he gets charged with obstruction with police reporting and also bodily harm to another person which does not make any sense because the same other female was also talking behind my boyfriend's back to her ex-boyfriend who had became very jealous which he was jealous of my own boyfriend so I'm thinking he made my boyfriend out to take the fall of abusive part and she became very fearful of her own ex-boyfriend since she had already have talked to my own boyfriend saying she's very fearful of the her ex boyfriend and she had been talking to the ex-boyfriend of hers while dating my boyfriend at the same time. So my own boyfriend since 2013 and I think that the other female was making false accusations to cover up the real abuser .