It seems odd to me that you are checking his text logs or phone logs. That stinks of distrust. The fact that he is deleting them shows that he doesn't have any trust of you to respect his privacy either.

I don't understand what really happened here. It sounds a little like an over-reaction. A woman was texting him, did he do anything? If all that was happening was a woman texting him, this doesn't sound like a betrayal to me. I'm not trying to invalidate your emotions, but I think you need to recognize how strongly you feel about something that is relatively minor.

Did he do something with this woman? I mean, it sounds like he told a minor lie to keep you from getting upset (which clearly you are) about a none issue. Unless he actually did something besides receive this woman's texts. Did he tell her to stop texting him? I mean, a good hair stylist is hard to find, so if it was just.minor flirting and he put an end to it, I would understand why he continued to get his hair cut by her.

I'm more concerned with the policing that's going on, with you checking his text logs, etc. Relationships don't last long when there's no trust.

Have you two considered couples counseling?