When I worked at Hopkins we were one of the US clinical trials sites for Mirena. I've also had 2 myself, both before and after my son.
Mirena works a little differently than non-hormonal IUDs, because the very low level of progesterone it releases causes the same kind of cervical mucus changes as oral contraceptive pills and other methods. That is a very effective primary contraceptive. There are other things it does too, to further reduce the risk of pregnancy. That's why it's so effective. It's lower side effect profile is because the medicine is absorbed directly into the blood stream, not going through your digestive track like OCPs. That first pass thru the liver is where many of the nasty side effects come from.
It is very common for periods to decrease or go away when on Mirena. Sometimes that takes a few months. The most common reason for failure is that the IUD falls out and women don't notice. That's why it's good to check the strings each month. However, just because the strings are short and can't be felt doesn't mean it's not working. I've personally seen a couple of women with domestic violence issues that needed an invisible method of birth control & Mirena with a super short string worked well for them.
As for ectopic pregnancy - the research has shown that it is a lot less common in Mirena users than in the general population. I don't know what the situation was with the other posters' friends - but there was probably something else going on too.
As always, there are many possible reasons for a missed or late period (especially while using Mirena) besides pregnancy. But, you can usually be pretty confident about your birth control effectiveness with Mirena - it's generally more effective than getting a tubal sterilization.
If you don't get a period in a week, call your doctor's office if you don't want to take a home pregnancy test. Maybe they can reassure your futher since they know your personal medical history. Although, if it were me, the stress of not taking the test and worrying is much greater than the dread to take the test.
Good luck. Sorry this is so long and detailed of a response. I just hate to see misinformation about birth control being spread.