Does she like me? How should I react?

Are you sure she likes you? it doesn't really sound that way.

You need to talk to an adult you trust about the things she is saying to you. The adults in her life need to talk to her about appropriate/inappropriate conversation.

Something very similar has just come up for a real-life friend. Her son has come to her about a girl/young woman who speaks to him much as you've described. Her parents and the school have already asked to be told about incidents like this.

She may be teasing you or showing off for her friends. She also may be bullying you with her outlandish comments.

Tell her to get lost the next time she does this.

Sorry, she does not like you. She is acting out.