You can't even file in my State if you/your partner is pregnant.
Sorry things have worked out this way for you, but sometimes, absence DOES make the heart grow fonder. If he is only there on weekends, and sees changes in you week to week to week, becoming more and more independent, it just may change his way of thinking.
He's going to the lawyer on the 30th? He plans these things a month ahead of time? Sounds like BS to me. At least he is showing love and responsibility towards your daughters, and that is something to be thankful for. My H filed in April. I contested. There she sits, gathering dust. Nothing since.
Try to think in terms of you and your children. Moving forward as a family of 4, not 5.
Do you stay at the home when he comes on weekends? Maybe you should go out and GAL for yourself, leave him with ALL the responsibility.