I feel so angry my chest is pumping reading your posts, @Lebruitetlodeur
This man is controlling. You are not too sensitive. You are responding perfectly normally to someone abusing you.
He stops you having male friends.
He is cruel about your weight and tells you to lose weight
He threatens to leave you, and to make your baby 'fatherless' unless you lose weight.
What man does that? He clearly doesn't think much of your child if he would leave them. Any loving father, even if he split from the mother, would still be a father to their child.
But no, he made that threat beacuse he knows it's a sore point for you. Being fatherless was your idea of worst case - so he threatens you with it.
So you lose the weight, and now he wants you to put it back on, and makes threats again.
Can you see how crazy his actions are? For a start, he doesn't have any say over the size of your body. It's YOUR body, not his. Yours to do as you please. Secondly, he is clearly just using this as a way of controlling you for the sake of it. When you are overweight, he insists you get thin. When you are think, he inists you put weight on. It isn't about the weight for him, it's about controlling you.
This is not a good man. He is abusive. He is controlling. He sees you as his property, not his respected equal. He is a very bad role model to your child. Do you want her to grow up thinking this is how men shoudl treat her? What would you advise her if she was in your position?
If you leave him, he can still be a good father. Separated parents are both still parents. I know plenty of people whose parents split, and who are still close to both parents many years later.
If after splitting he isn't interested in her, then he was never that interested in the first place, and would have let her down at some point. And frankly, it's miuch better if he does that now than when she is older. Now, she is young and will know no different. She will have a lovely life with her lovely mum, teaching her how to value herself and not be controlled by any man.
Please leave him. For you and for your daughter's sake. He won't get better. The longer you stay, the more he will grind you down (and make you think you're crazy), the more influence he will have on your daughter, the more chance she will end up with someone like him when she grows up.
You aren't crazy. You are reacting normally to an abuser. Abusers pretend to be nice to everyone else - that's how they get away with it.
Confide in someone you trust in real life. Stop listening to him. He isn't acting in your best interests. Remember your body is YOURS. Remember your daughter will learn about adult relationships from watching yours. Build yourself up, value yourself and leave this awful man.