An angular stomatitis it is, and responds to bcomplex.
From the symptoms that you have described,it sounds like folliculitis or boil. Pls keep the area clean and apply some topical antiseptics. Also use an antibacterial soap or mild soap like dove.Avoid any kind of cosmetics. Topical antibiotics such as mupirocin or neomycin containing ointment are also useful.In case the symptoms persist then oral antibiotics may be needed.Pls consult a dermatologist in that case.
Hope it helps.Take care and pls do keep us posted on how you are doing or if you have any additional queries.Kind regards.