Dear An: Congrats on your recent marriage! Let's walk through your history to be sure I am tracking you correctly, OK?
August 28th "period" would usually be considered breakthrough bleeding when a woman on birth control pills has her flow during the active pills. Continuing to take your pills as prescribed during an episode of breakthrough bleeding is exactly the right thing to do.
September 10th you completed August's pack of pills but did not have a "pill period" during your placebo/sugar pills. This can happen if there is a lot of breakthrough bleeding during the active pills--the lining of the uterus gets shed during the breakthrough bleeding.
September 30th still no flow. Here's where it gets unclear to me so I am going to give your answers for both scenarios:
1. You continued to take your pills in order, as prescribed, but again, for the second time, no pill period. IF this is the case, flow or no, you should continue to take the allotted pill per day. Check a pregnancy test just to rule out that distant possibility. If the test is negative ( which I would hope and expect), and for the third time you still do not have a flow you can return to your GYN or clinic. Often a change in the brand, or formula, of birth control pill will fix the problem.
2. You stopped taking pills after your last placebo/inactive pills and did not restart the next, new pack because you were waiting for a flow. IF this is the case you might be eligible for the "Quick Start" regimen. To do "Quick Start" one first has to be assured that they are not pregnant. The birth control pills (BCPs) can be started at anytime but must be followed by a seven day usage of a reliable back up method. If there has been any unprotected sex since being off the active pills one needs to do a pregnancy test two weeks after starting the "Quick Start" regimen.
As always, it is best to consult with the GYN or clinic who wrote your prescription. In your specific case I would really urge you to contact your GYN or clinic for the most "for sure" answer since I am not fully clear on your history. The only thing I can tell you for certain is that counting days from an episode of breakthrough bleeding on BCPs is not a reliable way to predict when the next bleeding episode will arrive.
Yours,
Jane