Should I be worried about his actions?

So my boyfriend and I been together for two years. I have a hard time trusting men I’m in a relationship with even though my current boyfriend hasn’t given me any reason to believe him or not trust him. Anyways if I want to see his phone, he will let me. He will get irritated by it but he will let me. I don’t always ask for it but when he’s on it I’ll look over at it or what not. Recently his screen protector broke and he got a new one that’s dark so I can’t see from a certain angle. I asked why he got that and he said his co-workers peek at his phone and one of them had one so he got one too. I asked if it was because I peek also and he said it doesn’t matter for me because I look regardless so no worries. He said if anything I can just lean my head on his shoulder to look. Should I be concerned about his new purchase? He let me look through it still. Also his friend who’s a girl texted him to check in at 11 pm at night 🙄 he kept the messages and it was innocent since he just got surgery two months ago and she asked if we were still dating and he said yes 2 years and that was it. I don’t know if I should also be worried about that. He kept it short only checking in and that’s it. She always hits him up from time to time to “check in” and he won’t hide it. What do you guys think?
Should I be worried about his actions?
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