Ignore all his bullshit. I know that's really difficult to do because you are currently in a high-stress high-alert situation. Anyone who has been through a nasty divorce will recognise the stomach-churning stress you are currently dealing with.
He is being aggressive and combative in his approach, because that's the kind of person he is.
He is still trying to control everyone and everything, and this is coming out in his anger and in his instructions to his solicitor. (Remember that the solicitors will have seen it all before.)
Solicitors don't care about the bullshit and arguments. They're just doing a job that they do every day. The more combative a divorce, the more money they make, so they really couldn't care less either way.
Try to keep your eyes on the prize:
Getting a divorce decree
Getting a fair financial settlement
If you can gather any evidence of your STBX's behaviour towards your daughter, that would be wise. His admittance that he doesn't have a good relationship with her, for example. Also, what is he doing that makes her so distressed? Ask her. Maybe she wants to write it down for you. Perhaps record her calls to you sounding distressed and asking to come home.
My DCs hated seeing their father. I eventually defied the court order and refused to engage with him (he was highly controlling). He kicked off for a while then quickly gave up, blaming me for parental alienation, when in fact he had managed to do that all by himself. Truth was that once he couldn't control everyone he lost interest.
Never had a penny in child support of course.