Am I in the wrong for asking him?

my boyfriend and I have had some trust issues. these are the things he has done to lose my trust.

1. Text and ex and lied to me about what was said (even thought when i read the texts nothing bad was said)

2. The first time we were together he texted this girl and said that I was nothing to him and then when we got back together this time he was still talking to her (found this out 6 months into the relationship)

3. he was deleting conversations between this girl name Shelby

The final one: he was FaceTiming Shelby on his way home because we live together I bought the problems we were having and asking for advice on what he should do.

I told him that he can either continue to talk to her and not be with me or he can quit talking to her and we can be together. We live together, and have been together for a year now. And I told him he needed to choose between continuing to talk to her, not to be controlling but because he was also talking to her about personal things he doesn’t even talk to me about.

Am I in the wrong?