Thank you for your query.
You can try the ointment but it is always better to get a doctor's opinion who will examine the children and advise accordingly. It may be that the children may not require any antibiotic ointment but good skin care
which may resolve the issue. A points worth acting upon are:
1. Wash the face frequently
2. Avoid using any cream/lotion, etc. which may be blocking the pores
I hope I have answered your query to your satisfaction.