Thanks for your query.
I will try my best to provide you with best possible professional recommendations to your questions.
There will be slight burning in the mouth and in pharynx due to drinking hot fluids. As you have mentioned you have consumed very little of it, need not worry. It usually heal by itself in a day or two.
No medication is presently required. I advice you not to consume hot fluids and food, and also spicy food for few days. Avoid alcohol for few days.
which you have mentioned, i think it has nothing to do with drinking hot fluids, it might be due to the food that you have taken.
In case of pain in the mouth you can use over the counter drug that is mucaine
gel for local application.
Yet again, I do hope that you have found something helpful and I will be glad to answer any further query.