Re: If you didn't go into labor on your own with #1, did you with #2?
86% of women who experience SROM will go into labor within 24 hours, although in many places (US and abroad) you can probably get an induction as soon as your water breaks, and that is your right. That 86% doesn't mean baby will be born within 24 hours (which is often what our care practitioners want in the US), but that labor will have started on its own.
In many European countries they offer more conservative management of labor -- they allow a woman to return home and take 36-48 hours to see if labor will begin, much different than in the US.
It is easy to cite statistics and very much a different story when you are in the situation. Every woman has stewardship over her body and baby and needs to decide what is best for her unique experience.