Did you say you became ill/disabled after the start of this relationship? If you have been suppressing feelings because you believe your thinking is flawed, and because you don't want your issues to be the thing that kills this relationship, could that have made you ill do you think? Suppressing feelings is an immense strain and that really isn't healthy.
It sounds as though, because you are aware of the effect of your childhood on your thinking, you are hesitant to question his behaviour because you believe that your feelings about how he behaves are coming from your own issues, and that they are not a real and valid reaction to how he actually behaves. And also, the strength of your feelings is the thing that feels so awful as it's frightening and extreme and takes you back to the hideous feelings growing up.
And it may be a bit of both - your issues AND his behaviour. But he still behaves in this way (lots of women wouldn't be happy with it). And both you and he think that he has a right to do so. And that's fine, but it's not suitable for you. And also, you don't really believe it's acceptable.
Whatever your own insecurities and issues with jealousy are, that does not take away from the truth - that openly checking out other women in front of you is at best rude and disrespectful, (at worst designed to make you feel needy and jealous).
You can't sustain living like this though. A relationship needs to make you feel better about yourself, not worse.
I hope you can talk to him and things can change, but I think he has his own issues which cause him to need to be like this. And the fact he has been constantly telling you horrible tales about jealous women, about unfaithful women, really sets you up to be really trying to make sure you're not one of those women... to the point of feeling afraid to stand up for your own needs.
At least talking to him might help you decide - does it concern him that you're going through this mental torture? Does he want to do everything he can to make sure you feel like the most important priority in his life? Or is he adamant that he must be able to do as he wants and that you should just have faith he's not doing anything untoward?
Even if he's not doing anything 'wrong' the way he behaves is something you don't like, and that is ok. If it makes you uncomfortable, then it just does. It may mean you are not compatible. And you could just say that.
So sorry, I would rather be peacefully single than be going through this 