Hello, Welcome to Just Answer and thanks for your question. That is the typical pre-employment drug test looking for illegal drugs. It doesn't test for birth control or Lamictal and neither drug will influence the outcome. If you aren't taking illegal drugs, you have nothing to worry about.
They don't even test for Lamictal or oral contraceptives. Just for information that you can store away, even if you were found to have taken an opiate (one of the drugs they do test for), for example, the Medical Review Officer for Quest would contact you personally before any report was made to the employer. If you have a prescription for it, the physician will report it as a negative test. They are only looking for illegal drugs, not the ones your provider prescribes for you.