Welcome to healthcare magic.
Good that you have seen a good improvement after treatment.
Since you say it was in the lower eyelid, and responded to antibiotics, it must have been a stye
You need not repeat the antibiotic again.
If well in the skin portion, you may apply ointments
thrice a day for 4 to 5 days.
If its seen somewhere near the eyelashes, you may get Gentamicin
eyedrops and apply it thrice a day for 4 to 5 days
Hope I have answered your query.