I think these are some major red flags waving in your face girl. He's EXTREMELY controlling. He's exhibiting red flags for becoming abusive. He's twisting innocent things you're doing into attacks on him and gas lighting you into believing you're purposefully disrespecting him. He's going to continue to do this until you question yourself so much you start to agree with him. You're already questioning yourself. I know ppl never leave when others suggest it this early on, but please at least seek out a therapist and run these scenarios in the post by them. Please do at LEAST that. This guy sounds like a narcissistic abuser. 

each scenario in my opinion:

1. You can tell the difference when someone purposefully interrupts and when they had a sudden thought and it's accidental.  He decided to hang up on you and send you shitty texts. Then he tells you you're so disrespectful that you need to apologize? Although, when it's him, he thinks hanging up like a child is perfectly ok. That's disrespectful. He's not your father or an authority figure. He then tried to convince you that you were annoyed by him and that's why you interrupted. This is called gas lighting. Where someone bends your reality to suit their narrative. He could've waited for you to finish and then kindly said, "oh I had more to say about what I was taking about". He could've been polite at bare minimum even if it is a pet peeve of his. If his patience are this short now, what will they be like in the future? 

2. You telling him to chill isn't offensive. You were being light hearted and trying to diffuse a tense situation. Again he feels the need to exert his dominance over you. He's trying to convince you that you're disrespectful so you question yourself and believe the picture he's trying to paint. This is behavior I've learned to run from immediately. Anyone that creates a fight over nothing to try to convince you that you're doing them harm/disrespect is a manipulator. No one can tell you your intentions or how you feel. You are the one who knows those things.

3. Telling him to pay attention while getting milkshakes seems like you meant to be cute or funny. Yet he's again turned a joke into a personal attack. You're not responsible for his feelings. He doesn't communicate in a healthy way. If he was honestly offended he could say," when you said _____, it really hurt my feelings. Did you mean it that way or was it a joke?" That is how adults communicate. They don't sling accusations until the other person gives in apologetically to a scenario they didn't agree with. 

It's a classic narcissistic push and pull. He creates a fight that you "work through" and then when you apologize he love bombs you, which creates a false sense of closeness/bonding through problem solving. I had an ex that was a narcissistic abuser and my mind was so warped by the end of the relationship. All he did was create drama and arguments until I was panicking trying to keep him. They love the attention. I found a therapist afterward that helped me work through this. Above all, I recommend you leave. I know how hard it can be because they are charmers that continue to pull you in. I'm very concerned by your post and strongly recommend you see a therapist if you stay in the relationship. That way you have someone to keep you grounded. These types of head games can really mess with your sense of self. I hope this helps and best of luck!