Question about rainbow baby birth

So, I had a missed miscarriage. I lost him at around 9 weeks and had him around 12. My first live birth ended in an emergency c-section after a doctor induced me without my consent (didn’t know I was being induced. He said he was checking my cervix and then inserted a hook thing and broke my water). I was wondering if the missed miscarriage means that my body takes longer to go into labor after it needs to and does that mean that this baby will probably be a few weeks late?

I am already late. My due date was yesterday (December 30th).