What should I do when the guy im dating overthinks a lot?

He overthinks and thinks I dont really like him. It doesn't help that I dont message often but I do try to message 2 or 3 times a week because I noticed he also will just wait for me to message him. I also dont reassure because my feelings are still halfway there.

One time he got upset why I don't want to go to his house and had a tantrum and treated me coldly for many days. I just let him be but he reappeared and again is wanting me to go to his house. We have sorted this by me saying to him that he can go to my house.

He admitted his past relationship where the girl cheated made him really overthink and became too cautious when dating so now he is beginning to be so weird with me.

One moment we were talking and everything's well. The next moment he doesn't reply or just gets upset over things I didn't even notice much about or just feel natural about. Like yesterday, we had a great conversation but I had to end it after 1 hour and 30 min cause I need to do something. So i said i need to do something. Thanks for the time. And then he said okay. Then we said bye. Now, when I sent a message saying thanks for the time and goodnight. He did not respond to it.

He does come back after a day or two and will nag me about something i did which i dont know about. I understand he had been hurt in the past but why does he get weird with me? So now we do have a weird push pull dynamic and sometimes he avoids me and I try to make it up cause he got sulky and then he gets sulky again

What should I do when the guy im dating overthinks a lot?
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