Am I overreacting here??

Or is my MIL 100% out of line????

A little background: my boyfriend and I moved into a home together February of last year in hopes to start a family. March we found out I was pregnant. April I moved back home because he decided he suddenly didn’t want a family, started sleeping in another room, and forgot to come home a few nights. Sometime after he tried to convince me to get an abortion. I -being 30and both of us already seeing his heartbeat!!!!- decided I would keep the baby and raise him on my own. I cut off all communication with him. Randomly one day in May while I was shopping for baby stuff with my parents his mom calls to congratulate me on my pregnancy and tells me how happy she is that her son and I are having a baby. We do a 3D ultrasound with both families and find out we are having a boy. The Dad is excited and says he wants to work things out for the baby. I love back in. Believe it or not the same shit starts again. This time he accuses me of cheating on him and says our son ain’t his. He wants a dna test. I agree, nothing comes of it. I move home AGAIN. Dad lives single life while I’m pregnant at my parents. His mom would text me all the time saying she’s praying that everything works out. That we get back together. They are religious so they want us to get married. Blah blah blah.

Fast forward to the last week or so. I’ve since given birth. Made the mistake of moving back with the Dad. At first he would help. Now he does NOTHING. Our son is 11 weeks old. He doesn’t hold him. Doesn’t feed him. Doesn’t change him. Doesn’t bathe him. When he cries he says be quiet no one likes you. But when we are in public or his friends are around he acts like he’s the worlds best dad. Wants to hold him and take pictures with him. He will still say that our son ain’t his and he wants a dna test. Which every time I agree to. I even researched and found one close to our home. When I told him about it he said he didn’t want to go there because I probably paid them off to give us a false positive so I can trap him. The other day his mom asked how things were and I truthfully told her. I told her how her son and I have been fighting because he goes to the bar and doesn’t tell me. How he doesn’t help with our son. (Which she bypassed) And told her about the dna place I found. She apparently did her own research and started telling me about places. I stopped responding because I was offended. For like five days stop responding.

Well today as I’m making dinner my bf tells me that his mom randomly text him telling him about a bunch of paternity test places that he can go to. Writes a super long message about it too. I feel like she completely overstepped her boundaries. Like WAY OUT OF LINE. I keep crying and I can’t stop. Am I overreacting??

Update: I do call him out on the way he treats our son. When I try to leave he guilt trips me and says it will cause more problems with him and my family. And he will never be around them again. He thinks my parents hate him because I moved home pregnant. I think that I so badly want us to be a family and that’s the reason I stay. I keep thinking of the man who he USED to be or pretneded he was when we first got together.

Final update: after a huge text argument where he kept saying how miserable his life is at 5am and turning off his phone so he didn’t have to face reality or listen to my feelings. I have decided to pack up my stuff and my sons and go back to my parents. I do not need someone to make me feel less about myself or my child. If we are making him SOOO miserable then we won’t continue to stick around. I am done giving him chances for redemption. He has proved to me who he is and that’s more than enough.

Thank you for the harsh reality check lol