Are these red flags?

I have been on a few dates with this guy, and in between dates, we have been texting. I just get the impression that I've found a few red flags, but I'm not sure, because I can't trust my judgment.

- He keeps texting me about female celebrities he finds attractive, and calls male celebrities "hunks" and speaks about them in detail, what films he's seen them in, and it feels quite obsessive.
- he wanted to go on two dates the day after the other, and in between them, barely messages me
- he keeps talking about his hair and having different hairstyles and losing hair on dates
- he tells me he loves shopping, and going out to try on different clothes
- he speaks about feminine things, like ballet, watching movies about ballet, saying he is sensitive and emotional

Are these all red flags?
Are these red flags?
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