Re: Female facial & body hair...
You should see an endocrinologist and discuss the possiblilities of PCOS, polycystic ovarian syndrome. You should also be tested for insulin resistance and iodine deficiency. I doubt birth control pills alone will help.
Electrolysis is permanent, as well as laser hair removal. The degree of permancy depends on what is going on in your body, if you are continuing to produce new hairs, and the training and skill of the person doing the treatments.