Checking messages - OK or not?

Me and my boyfriend has been together for about 5 years and have a kid together. A little over a year ago, I got sick of him acting like a child and not helping with chores around the house so I moved out. I never broke up with him, and did the horrible choice to cheat on him once. He found out about it, but decided to give our relationship another try. We moved back in together. Over a year has passed since, but I noticed today by a coincidence that he is logged in to MY social media and regularly checking my private messages on HIS own phone. He hasn’t said anything and neither have I. I honestly don’t know what to feel about it. Should I be ok with this?