You don't need to worry. There is no way Facebook would sell data to, say, Oklahoma or Texas about your appointment in another state with an abortion provider. Just to give one very specific example of what would never, ever happen. Never.
The same thing is true for your kids' data. No way they would store that information, blaming it on a system that was “not yet operating with complete accuracy,” and then sell that data. Accidentally. Everybody makes mistakes, but not Facebook!
Also inadvertently leaking appointment data that might be used by abusers to find their victims? Simply impossible. Computers are super-duper secure, dummy.