There's really no justification for abandoning a woman during pregnancy, even if she said some hurtful things while under the influence of the hormones of pregancy. But its not clear what you would be seeking the restraining order for. If he has left, you presumably don't want an order forbidding him from approaching you, when he apparently doesn't intend to do that.
Its not clear from your message, but it sounds as though he and you have existing children together, and you want to ask the court to forbid him from approaching them ever ? I doubt very much that this would succeed. However much you and he may have hurt each other, the court is supposed to decide such issues on the basis of what would be best for the children. And they're not YOUR children, any more than they're HIS --- their individual interests are what is supposed to count.
A maintenance court can decide what would be the fair amount of maintenance for him to pay, and would require him to pay this, but would not make it conditional on him seeing or not seeing the kids. Unless there was convincing evidence that he was abusive or harmful to the kids, they should not liomit his contact. And if he is as uninterested in the children as you say, he may not want to see them much, and might even become more insistent on doing so if you tried to ban him from doing so.
And to anyone else with any sense, this guy has shamed himself by what he did, and has not shamed you.
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