Raymond, I can’t say for sure without examining you first, but the most common cause for localised alopecia (hair loss) is a fungal infection or alopecia areata. Fungal infections that cause hair loss are, unlike most other fungal skin infections, always treated systemically, i.e. with pills and not creams. Alopecia areata is sudden hair loss in circumscribed areas in individuals who have no obvious skin disorders or systemic diseases. Any hairy area may be involved, the scalp and the beard most frequently. Rarely, all the body hair may be lost (alopecia universalis). The prognosis is poor if alopecia is extensive, but alopecia confined to a few areas is often reversed in a few months, though recurrences may occur. If severe, it can be treated with cortisone injections into the affected areas.
Using an antibacterial ointment will have effect. At the end of the day the best will be to see a dermatologist and have it sorted out. Good luck.