If you take away all of his claims about his motivation, what you end up with is:
He had an inappropriate online relationship with a woman in which he crossed some boundaries in a public way on social media, but he refused to modify or end it when you pointed out that it was crossing the boundaries of what is appropriate for a married man, and that it was hurtful to you.
He refuses to interact with your family which makes it difficult (but not impossible) for you to interact with your family. He has not explained to anyone in the family why he is doing this and expects you not to talk about the reasons with them which makes it difficult for you to interact with them.
He refuses to participate in social events he dislikes, whether with your family or your friends, resulting in you having gone without him to all friends and family meetups for the last year, which is socially awkward for you and makes it difficult for you attend these events.
He complains that it is "invasive" when you talk to your mother on the phone because he dislikes her.
These choices on his part are causing you to be socially isolated, thus having become a material problem for you in your life. Yet:
He tells you that you have no right to talk to anyone about these problems.
He criticises you for having negative feelings about his behaviors or for seeing his behaviors as problems at all.
All together, it looks to me as if what these behaviors have in common are that your husband has violated the boundaries of the marriage by exchanging inappropriate messages with another woman on social media and refusing to end that relationship. That he has isolated you socially and tries to prevent you from having a relationship with your family, even on the phone. And that he expects you to keep it a secret that he is doing these things.
These things are not really ok.