Please help

So backstory, been with the same guy on and off for 4 years never married and he is not on my sons birth cirtificate been cheated on verbally mentally and physically abused. We have a toddler who is almost 2 and I’m due in 6 weeks with our second. He hasn’t seen or asked to see his one son in over 2 months. I’m half tempted to not even tell him when I go into labor and don’t even want him meeting the new baby, am I wrong for making that decision? I’ve been taking care of our son by my self no help from his dad what so ever. He’s never bought diapers, wipes, juice clothes food NOTHING. What do I do....