Take an pain reliever and stop putting things in your mouth. Don't do dairy products because that will only make it worse in the long term. Just drink some water and go do something else to take your mind off of it. Pain is the body's alarm system to remind you not to do stupid stuff (like get drunk). You're young and we've all done stupid things (me included). Just chill out and don't eat crazy stuff when you're drinking.
You burnt your tongue on a hot foot item not a spicy item? This happens to us all. Ever had hot cheese pizza burn the roof of your mouth? If not, give it time. It is something we all experience. Not fun or pleasant but it happens and we all survive. Love your liver and chill out on the booze.
I suck on ice cubes when I burn the inside of my mouth.