Thanks for the query.
The diagnosis of cellulitis
seems to be correct.
These are deep bacterial infections.
As you mentioned there was response to antibiotics also.
The treatment is with antibiotics but the choice of antibiotics should be based on culture and sensitivity tests.
This will tell the exact causative organism and its sensitivity to a particular antibiotic.
Please meet a dermatologist
for exact diagnosis.
Let me know if you have any other doubt.
you can ask a direct question to me on this forum, following the below link.
Wishing you a good health.