Tell him if you want, you both are single. If you're feeling like there may be a future with him, tell him.
Personally imo, I feel like you need to be single and remain without being involved with anyone for a while..you sound like you may be a serial dater, and perhaps don't know how to be alone.
Also, you probably should work towards leaving the alcohol alone completely, or getting a better management of it. If you are telling the truth and this is a genuine post, and you are telling the truth and actually was drunk...perhaps the clubbing and drinking needs to stop. You went home with a stranger you just met and had intercourse with him. That is a problem. ..that could have had drastic irreversible consequences..
If you're blaming it on the alcohol, but was fully aware (or wasn't drinking at all) and had given your complete consent, it is a huge problem that you're making false accusations about an innocent person because you feel quilty and like you're a horrible person. This can have horrible consequences for all involved....especially if you perhaps go spreading this around and start naming out of desperation.
In my opinion, you don't even like nor are genuinely interested in either guy. Perhaps you are using men and alcohol to fill voids..and self sabotage perhaps therapy would be beneficial.
Either way, learn pacing and slow down.. this is too much with a guy of a few weeks..you're already believing he loves you...you fear disappointing him....you already had talks about being exclusive...etc...too fast.
Its okay to have casual sex with someone, just try to know the basics about them...and it's probably a good idea that both are sober and consenting...and protected.
Go to your gp and get yourself checked out and tested.