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.
Physically you can get pregnant after two weeks, before your next period. Probably better to wait until after your next period so you have an accurate datefor calculating your due date. Surprisingly, many women have a baby very near the first anniversary of the miscarriage, so they are pregnant within 3 months.