Hope you're feeling better by now! It had to be a reaction to one of the meds. One time I had to go straight to the ER from the ear, nose and throat Dr because he had sprayed lidocaine or zylocaine with epinephrine into my nose, but my reaction came only 20 minutes later because od the way it was ingested. The Dr told me I just had a sensitivity to it. PS. I have never had a reaction like that to Vicodin. I think one of the "caine" drigs is more likely the culprit.
The pain medication is most likely the culprit. Report what's happening immediately to whomever extracted your teeth. I think you're having an adverse reaction to the Vicodin, or it could be that you're having a drug interaction. An extraction will not cause these problems so you must look at the meds.