Breakup or stay together

My boyfriend is starting to bug me a lot and I can’t tell if it’s just me or if my feelings are valid.

First off, he’s very self centered. He talks about himself like he’s unbelievably amazing and how basically rules don’t apply to him. He acts the same way too.

He doesn’t take feedback well at all. If we talk about something I need done different, he’s offended and acts upset like a child would by pouting and walking away.

Lastly, even though this is my own fault, it took an ultimatum in order for him to agree for us to to date. I know I made that choice but sometimes I wonder if he would’ve committed eventually or not.