It sounds like your husband has been used to being your everything, basked in your perceived total reliance on him and he has probably felt that you absolutely need him. Perhaps he perceives the foundation of your relationship as need (on your part) rather than choice.
Now you're starting to have family, this is being threatened and he's feeling like you have choices and could leave him.
This is not a justification for his behaviour.
I would reassure him that you love him, that you are with him because you want to be not because you need to be, and you see this as growing your shared family not an alternative to the family you have built with him. But then that's it.
Beyond that, don't negotiate with him, don't reason with him, don't hide anything (because that then gives him justification that you're doing something wrong).
Don't tolerate him preventing you from getting to know your family, that is your right. He can be involved and you can all be family together, or he can make it difficult and you will continue to see him as jealous and possessive.
I would avoid saying things like "be involved or be excluded" as that's going to play to his fears and make it harder for you. Focus on his behaviour, how he's making you feel and the lack of support.