He's in a relationship with me but has single on Facebook. Is he playing me?

My boyfriend and I are around each other every day. Yet, he has he's single on Facebook. He's following half naked women on there, but won't add me as a friend 🤔because he says, "he don't want people in his business.". I don't understand him.. On his birthday, he let me post a picture of our shoes together at a concert. After that, he came over to my house. I grilled us both some food then later that night, I went to work. Ever since i met him i been broke, paying my own bills and driving my own child to school. That's been 6 years now. He says he cares about me but he doesn't take me out on dates unless we're with other people. Is he playing me? He says i drink too much that's why he don't take me out. Smh I might embarrass him. 🙄
He's in a relationship with me but has single on Facebook. Is he playing me?
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