Confused about paternal rights...?

🌟🌛Tabi🌜🌟

My boyfriend and I are still together, very happy, and living together. We have a baby due in September and we were just curious if he gets any legal rights to get because we're not married. I looked it up and everything I found was in the instance of us being broken up and never having been married.

So since we're still together but aren't married, do I automatically get full custody? Does he have any paternal rights? Please don't answer if you're only guessing