Hi..
Welcome to HEALTHCARE MAGIC..
I have gone through your query and can understand your concerns..
As per your complain it seems there is formation of
DENTAL ABSCESS due to infection from tooth reaching below the root tips of the tooth leading to pus formation.
At times the pus and infection perforates the bone and accumulates in the soft tissues leading to swelling..
Antibiotics can take a longer time to resolve infection and swelling and you should take him to the
dentist back so that he can take an x Ray and if tooth can be saved he initiate a
Root Canal Treatment under local anaesthesia so that a channel is formed for pus drainage and once pus will start draining pain and swelling will subside..
But if tooth has extensive decay extraction can be done..
As of now he can take anti-inflammatory painkiller like
Ibuprofen for pain relief and reducing Inflammation..
Higher antibiotics like
Augmentin should be taken..
Hope this information helps..