What do I do after an argument?

Ok so this is a relatively new relationship, and we just had our first bigger fight. background knowledge: my first relationship was a disaster, he was abusive, etc. Current situation. He sent me a tik tok and I deleted the app a few months before meeting him, I redownloaded it and clicked the link to see what he sent me, and it shows the user who sent it to me, aka his user name. Out of curiosity I asked what his user meant. It was something in latin. After requesting to follow him, so he can send the videos there instead of on my messages (it made my phone glitch trying to open the link) he said, "You really gotta stalk every platform I send you sh*t on?" I responded by trying to explain the whole phone crash situation, and that tik tok showed me the user who sent me the video. After that he was ranting about how I am just weird and that he hated how I looked at his IG profile after he followed me (before we started dating). I had looked at his profile that one time. He also sent me something on FB and then I asked again out of cuirosity why his FB was empty, he got all mad saying that I am weird and invasive by looking at his profiles. I explained that I was sorry if it made him uncomfortable but I just looked that once. He then got mad, "You can be mad I am not entitled to my privacy?" Which confused me, because I never said anything about that. We started to argue, me explaining that the only reason I saw who followed him was because on my reccomended list on IG it was showing people who followed him. He said I was stalking his family and trying to be invasive. I didn't see it this way, and am fustrated that he is refusing to discussing what happened. before telling me to shut up he was like, ""No you said it is about your baggage when you brought it up," which I never did. I am super confused and hurt by some other things he said, that I don't have room to explain. He said tomorrow he would, "deal with me" and that I needed to shutit for once. what do i do?

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Update: He finally said that he wanted to talk about it, and we did, but he was still being defensive and argumentative also saying that, "Do you see a therapist." I was baffled and was like, "Um do you see one?" He was like "Yea i do but that doesent matter.." I am seriously debating breaking things off with him. It is also a long distance relationship, he is in NC and im in IL so close to 11 hours away from eachother... What should I do, should I work through it with him?
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He also said that he had so much free time while we weren't talking and that he had so much fun without talking to me.
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I dumped him and am doing better
What do I do after an argument?
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