I disagree. These are serious enough for you to be concerned and for these 'issues' to be rather unpleasant.

From reading your post, I also find them quite alarming. Anything starting small as warning signals if left unattended, can escalate rather drastically.

He should do something about it. If he doesn't want to, you (both) need to have a conversation about boundaries. What he is doing and saying is impacting on you, his life partner. So, yes, you do have a say in what is happening. And if he refuses to take action when something he does seriously impacts you, I would question this relationship. It would then not be an equal, mutual, partnership but a one-way street relationship