So? You can start the pills on any day. You don't need your period as long as you know you are not pregnant. The only thing is that you will need to use protection for one full week, then you're fine.
I say this because you waited 12 days, and this basically means you have to "start" all over again. Many forms of birth control make a woman lose her period; this is a common side effect.
Once you start, you will not change the day you take your first pill on. Say you start on wednesday. At the end of the month you have your placebo week (yes, on Loestrin?) and then right away, the next day, start a new pack. It will be wednesday when you start your new pack. That's how birth control works. Loestrin may be slightly different, but the point is this: take all the pills, in order until the end. The very next day, start a new pack!!
--- UNLESS of course your pack happens to not include placebos and tells you to take a week off to get your period. I don't think loestrin is like that though. The longest you should ever wait between packs is 7 days IF THERE ARE NO PLACEBOS, or you lose all of your protection. Follow the directions on the packaging! Once you start, don't stop.
If there are placebos, then take those at the end of the cycle and start a new pack the very next day. I know, it's confusing!!