Is it normal to have severe breast tenderness after being on the birth control pill?

Can be common: Breasts swelling +/- tenderness is very common around menstruation; swelling and bloating is usually lowest right after your period is done. Women on long term birth control are often surprised by symptoms when they get off the pill. Otoh i don't think 'severe' is ever totally nromal, so see your doctor in person for confirmation.