Small lump on right lateral lower breast,once inflamed n healed by antibiotic,now again inflamed n healing with antibiotic,is this treatment suficient?

Hard to say: What you are describing sounds like it could be an infected cyst, but would need to be evaluated in the office. If it were a cyst, the best course of action would be antibiotics and warm compresses until the infection had resolved. An excision, or removal, of the cyst could then be performed in order to decrease the likelihood of recurrence. Cysts tend to come back otherwise.