I had no problem with the placenta in any of my pregnancies, you just continue contracting, milder and less painful by a long shot, and it kind of just comes out. I never got a shot to help either.
I remember just mild conrractions and then delivering tje placenta. Often your just so full of adrenaline that u dont really notice. I dont remember it hurting though.
I don't remember any contractions after I have birth but he did get me to push and I delivered it naturally, he didn't assist it