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.
Ovulation could occur early or late and not hit exactly in the middle of the cycle. If you have a 30-day cycle, that means you are likely to get pregnant 15 days after the start of your menstrual period, which also is 15 days before the start of your next period. So, yes, you can get pregnant before and after your period.