Due date but not here yet

So today is my due date and the first picture was when I was 39 weeks and today is the second one so I believe he has dropped but at my 38 week appoint i was dilated to a 2 and my 39 week appointment I was almost a 4 so i wonder if i was go into labor before tuesday which is when i get induced. Have yall ever got induced at the hospital what will they do to get things going because my first pregnancy my water broke and i delievered 3 weeks early and i naturally went into labor this time he is coming late and staying cozy