Hi Glam, glad that you are sounding better. Strange your H said "he only sees the person not their faults" given that you said how critical he was of people.
Yes you are right this is not your problem and must move on from it until the truth comes out. From what you have been through already maybe if the child is his then this would not be a deal breaker? so for now its back to one foot in front of the other.
You would think that if he is sure the child isn't his then he would be angrier that she has named him and would do all he could to clear his name especially knowing the impact it had on you and his financial situation? I guess that would require some effort on his part.
Take care Glam and I would certainly take steps to protect yourself.