Is my boyfriend over his ex?

My boyfriend (32yrs) and I (26yrs) met February2024 and started dating March 2024 and it was all lovely until I found out that he travelled back home and was with a girl last December (2023) and I left that be cause he said she came to see him and nothing happened between them cause he just wanted to have fun and she wants a relationship but he can’t date her cause she has a child. Ohh he said they stopped talking and I was ok with that cause it was before me, so few weeks later I was at his place and he was sleeping and I went through his phone and I saw that he still talks to that same girl and I was so pissed but we settled and I told him I can’t be in the relationship if she’s there and he promised he will do the needful which he did. Yesterday was my birthday and he went far and beyond for me, god me a MacBook for school, took me to dinner and got everyone to sing for me at Côte and also decorated the hotel room with my favorite flowers. But I’m bothered that he is likes his ex cause 5days ago his ex came to pic up her things cause he has been trying to make her pick her things up for months so I can move in, he left his place so he will not see and and now I was going through his phone and I saw all their pictures and it pissed me off. I love him but I feel he still holds on to his past and isn’t that free with me and holds back cause he was hurt.
Is my boyfriend over his ex?
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