GUYS, please help i'm so confused!? should i give up on him?10 pts?

he is quiet and reserved. Has lots of female friends (he is very comfortable and jokes around them a lot). Is geeky.

-we sat next to each other, he initiated a conversation with me

-made intense eye contact whilst smiling at me

-avoided me until i went up to him and talked. he seemed flustered. (stumbled upon his words)

-always said hi when he saw me (with a smile and eye contact)

-i asked him on a study date. towards the end he had gotten more comfortable around me (high fived me twice, made jokes)

-week after that, I missed two of the lectures (I never missed any). He posted a status saying “missing wifey”. No girl commented under it.

-day after, he saw me and gave me a big smile

-invited him to sit next to me. he seemed more uncomfortable, uptight and serious than ever. I made a joke, he didn’t laugh. At the end of the class he asked if I wanted to stay with him for the maths lecture (I had told him that I was free) ,I said I could if he wanted me to, then he said “no, you don’t wanna be bored by stupid maths”

-saw him at the library with his friend, went up and said hi, he said hey then completely avoided me and when I asked questions and talked, his friend answered me instead of him.

-he changed his insta bio from “Spanish” to “Spanish and proud, ladies form a line”

(then after a few days he changed it back)