It is OK to use birth control at your age to start having periods again. In fact, it is a good idea and may help prevent the possibility of uterine cancer
later in life. However, if you desire pregnancy
, you will obviously need to talk to your doctor about what the possible causes are for your periods not coming back (There are many possibilities, and you would need to talk to your doctor about how to figure out what your problem might be). Once you figure that out, you should be able to try and treat it with other medications that may help you get pregnant.
I hope this answers your question, please let me know if you need any more information.