Extremely Agitated

First off, I would like to mention that I might start my period sometime today or tomorrow. Also I'm 17 and a senior in high school.

Storytime: about a year ago my grandparents gave me their old oil paints that they don't use. This included a mini bottle of vodka which they used to thin out the paint and make it easier to use. My mom and I laughed about it then and referenced it a few times since. Fast forward to today, I went to the grocery store with my mom. It was okay, I mean how exciting can a grocery store be. So we go home and my father would not talk to me. He just looked at me in fury and disappointment ever since I got home. I didn't think much of it, since it feels like he's always upset at me. I go into my room to pack up my art supplies that I was reorganizing. My mom and dad burst into my room, my mom laughing and my dad still furious. I turn around in my chair and this is what my mother told me.

"Oh my gosh. So your dad just pulled me outside and held out this bottle of vodka. He thought that we needed to send you to a rehab facility because he thought you were an alcoholic. Lol, so funny right!"

I have never showed any interest in drinking at all. My family knows that my friends and I don't drink or smoke or do anything "bad". I've never been called to the principal's office and I've never been to a house party where there is drinking or sex or smoking involved. My boyfriend and I have never had sex and my father knows that my boyfriend is a great guy. So the fact that he immediately thought that I could possibly be an alcoholic and that his first conclusion was to send me to rehab without even hearing my side of the story really hurts. I'm enraged and I can't believe he would even think about that. He saw that bottle of vodka amongst my paints and pencils. How could he think that I would drink? What was going on in his head to think that I would do something like that?

Am I overreacting? Was he overreacting? Am I being childish for being angry with him?

Edit: I realize that he is just looking out for me, but when your first thought is that I'm going to become an alcoholic and I need to be sent to rehab, it makes me feel like shit.