He is digging his own grave with his texting finger, isn't he! Still not one word of an apology or an are you ok? Just entitled me me me prod prod prod.
I think you're right not to engage and to have given a clear message to the midwives re access.
It'd be all stress, distress and emotional blackmail the second you submit and answer his texts.
And definitely speak with your family re clear messaging to the hospital about next of kin, decision making and childcare arrangements - the last thing you want to consider, but it's wise. And will help your family help you.
I would let him know once the baby's born and registered. You won't want him turning up possibly with an entourage.
He should be allowed to see his own child when you feel stronger and on your terms; but he'll use that to turn on the waterworks and turn up the pressure so don't be alone when that meeting happens.