Are people ever refused abortions after having a few?

I remember when my former sister-in-law had two abortions 30 years back. She was told after her second that she could not go through another abortion and so that is how my nephew was born.
Do they still do that?
If they do, how do they keep track when people give false information all the time?
Can a doctor know if a woman has had several abortions?
She was told it would be dangerous and possibly make her sterile.
Is that true?
If it is true. Can the morning after pill also make women sterile if over used?