State law differs regarding DBA publication. Generally speaking, when publication is required, the DBA statement must be published once a week, in a specific newspaper that posts legal notices, for four consecutive weeks. Publication is included in the LegalZoom filing process.
If you are not having a period or you are having an irregular cycle, you can still get pregnant because ovulation occurs before your period, and ovulation can restart at any time. Young women can even become pregnant before their first period. There are no concrete physical signs of ovulation, so you could be ovulating and not know it.
Yes you can get pregnant a week before your period! Even two weeks! In fact, I'm pretty sure that pregnancy is most possible 14 days before your period is expected. Depending on your age, you can be fertile any time of the month.