as per the information provided by you , the nausea
is due to the common side effect of the antibiotic and painkiller you have been taking,
the blood in your vomit is from the extraction socket, so need not to worry .
i would suggest discontinuation of the antibiotic since you already had 5 days course but anti inflammatory your pain killer can be continued for few days more as per requirement.
it usually takes 1 week time for pain to go completely.