Birth Control Injury

First, unless you suffer some significant lasting harm, there is no point in suing anyone: malpractice and drug product liability lawsuits are very expensive, due to the medical and/or chemical testing, expert analysis, reports, and testimony, etc. which you need to bring such a case (e.g. you can't prove that a drug is defective without scientific evidence; you can't prove that you suffered medical malpractice without a doctor's opinion that you did; in both cases, the defect or malpractice must be scientifically connected to your symptoms or ailments; etc.). You have to pay for these experts and tests yourself--so unless you have significant injuries, you can spend more on the lawsuit than you will get back.
Along the same lines, right now, you don't have a case: you have pains, which *may* be connected to the pills, but unless there is medical evidence of that, you can't prove the pills are causing the pain; your reports of your symptoms are simply not enough.
Second, to win against the drug manufacturer, you'd have to prove the pill was defective and/or that the risks were not properly warned about. The law accepts that medicines have side effects and can cause harm in some patients--if you've even seen a pharmaceutical advertisement on TV, you've seen/heard all the risks and side effects they disclose. Only if there is something particularly unsafe about the medicine and/or the risks are not disclosed might the manufacturer be liable.
Third, a doctor is not liable simply because you had a bad outcome; the law accepts that the practice of medicine is not perfect. To establish malpractice, you'd have to show (again, with medical expert testimony) that the doctor was unreasonably careless in prescribing this pill.
In short, there are significant challenges to the case you propose, and until you have scientific evidence of your harm and linking it to the pill, there would be no case.