Should I report a classmate who raped me?

Hi, I'm looking for advice..
It has happened about three months ago. I have been working on my mental health since and think that I would handle emotionally talking about what happened with strangers.
At first I have been suppressing the memories and was in denial, so he thought he got away with it. But realising what happened I got so angry. I texted him, he was apologetic and basically admitted it. He then deleted his side of the conversation and denied everything but luckily i have screenshots.
I would like to forget about it and I know a legal process would take a lot of time and energy. But I can't stop thinking about it anyways. I don't think it was first time for him and am afraid he will do that to other girls.
Of course I would be risking an embarrasment, if the police wouldn't believe me or would say that I don't have enough evidence but what do I have to lose?
I know reporting won't erase what happened, but I think at least it might be a good revenge, cause there is not much more I can do. I also thought of telling our classmates, which is about sixty people, that he is a rapist. He cares a lot about his reputation and being popular. But I would feel stupid and judged, even if they'd believe me, I don't want my classmates to think of me as of a victim and I also don't want to show everyone the messages cause I was very angry and emotional.

What would you do?

Updates
3 mo
thank you everyone <3
Should I report a classmate who raped me?
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