[Rivière]

I don't think you're wrong for feeling uneasy. You're obviously feeling insecure and his lack of a suitable response hasn't helped. In fact it probably made things worse for you. While the situation may be no big deal to him, it is to you. Surely he must understand that?

With all of that said, I think it's good that he was willing to hand you his phone. If he had anything to hide, surely he would have opted not to let you? Or hesitate and try and spend time trying to hide something from you first?

Overall, it may be a good idea to try and chat to your boyfriend about how you're feeling. I understand you may not want an argument with him, but I don't think it'd be wrong for you to let him know how the situation is currently making you feel and that you're not sure how to progress. Though his words may not be of much reassurance even if he tries to, the fact that you've been open with how you feel is a good start.