Should I worry about these little lies?

I’ve always told my boyfriend about my past, including everything I did with my exes from serious stuff to silly stuff, I think it’s important that we knew everything about each other since trust is fundamental and I tell him everything he wants to know even if it might hurt his feelings, but I have caught him in little lies about silly stuff, he was in a serious relationship before me and had a fling too, I always ask silly things like “am I the first girl that has been in your car?” and stuff like that but jokingly, but there has been various times that I found out he lied about those silly things some examples are the car thing he said I was the first girl and then I recently found out I wasn’t, or one time he told me that he never spent his bday with his exes and then I found a picture of him and his ex on his birthday and every time I confront him he says he lied to not hurt my feelings it has happened a lot of times now and I don’t know how to feel. what should I do?
Should I worry about these little lies?
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