Bf said that I told him not to talk to his mom…

So long story short my daughter was seriously injured under my boyfriends mom care. She didn’t tell us what happened and when she did I heard 2 different stories on what happened. Then she tried to play the victim the next day after My daughter was at the hospital. and we were told to stay away from my boyfriends sisters. So we haven’t spoken to them for almost a year this month. She only told me sorry that night and never heard it again. Nor did she check up on her only granddaughter . My boyfriend told me he wants to have a talk with her to know she is in the wrong (I think it’s a bad idea because she will try to play victim or manipulate the situation and make things worse). So I recently found out my sister is pregnant & my bf made it seem I should stop talking to my sister because my sister has been a little mean to my child I’ve told her about it for example my daughter stepped on a bee and my sister laughed. My sister is 20 years old. So I feel like he doesn’t want me to talk to my sister. Then he brings up his mom and said he doesn’t talk to her because I told him not to talk to her. I’ve never ever told him not to talk to his mom. I told him if he wants to talk to her that’s great for him but I’m not ready to be around her or talk to her. So he threw it in my face saying that it’s the same thing and basically saying I’m telling him not to talk to her. There’s been 2 incidents where she’s wanted to come over ( through his brother) and both times I was home alone . I told him no because I didn’t want his mom over . For the same reason that things can be said and things can get manipulated or even things added that aren’t true. Now I feel like he is jealous of the relationship my family has compared to his. It feels like to me he doesn’t want me to talk to my sister. She doesn’t even live in the same state as us. He even said once the baby is born I shouldn’t just get up and go and be there for her, because the times she’s came over she doesn’t make time or want to hang out with me & my daughter. My sister is still young and wasn’t even around our family often & always with friends. I honestly feel like he is trying to tell me what to do. My sister was there for me when i was in the hospital and she was only 16-17 years old. We all told my sister that it seems like she was jealous of my daughter but she denied. My boyfriend is trying to compare the 2 situations and basically told me he is standing behind me and telling me that since he’s not talking to his mom I shouldn’t be there for my sister. He doesn’t talk to his mom or sisters . His sister haven’t reached out to use in about a year. His mom has called him several times and only spoke to her twice . (I didn’t tell him not to answer) do you think my boyfriend is jealous cause I’m talking to my family & he’s not?? I’ve told him that I don’t want my daughter to have a life where family is always fighting and then they don’t speak to each other and his family has been like this for years and it’s sad because I don’t want my child to grow up like that