Hi.. Thanks for your query
Doxycycline is an antibiotic commonly prescribed for acne
as it helps in reducing a bacteria in acne lesions called p.acnes. You can continue using the Cetaphil
cleanser and moisturiser as well.
When your skin has healed from the burn you mention, you can also use topical anti biotic gels like Clindamycin
twice daily . As for now, I think only he oral anti biotic should be enough as most of the anti acne topical preparations frequently cause dryness of skin and might not be suitable at this stage for application on your face.
Hope this helps.Take care.