I guess my question for you is would you be willing to put off your exams indefinitely if you do have a child sooner rather than later? All my friends who had babies found the first few years incredibly hard to focus on anything that required serious thought. The way you described your life situation, I would want to complete the exams first and then be able to devote fully to mothering without that hanging over my head. But that is just me. There is nothing wrong with having a baby at 30 or older.
Or did you get your papers signed and submitted in time, after all?