Youarenotkiddingme
What might have happened
Well, that's an interesting story.
Whatever the cause, you had an obstructed labour of some kind. Days of strong contractions + waters having broken early in labour + cervical dilatation not progressing generally equals a malpresntation
I wonder if your DS was really head down at 37 weeks. A breech presentation can be mistaken for a head presentation. The examiner thinks s/he is feeling the shoulders but in fact it's the breech.
Alternatively, let's say that DS was head down at 37 weeks. It was about a month later that you went into labour.
Did the baby turn around in that time? Possibly. Did you have an unstable lie (where the baby assumes different positions and lies obliquely or transversely inside you, and keeps changing)
Women with an unstable lie have usually had several babies before, though.
So maybe the baby was head down all the time, but was posterior. In that situation, if the mother's pelvis isn't big enough for this particular baby's head, the head can start to present by the brow, then the face.
There was enough fetal distress for them to perform a CS (eventually)
Possibly all that feeling about in your upper abdomen was them trying to feel if the head was under your ribs. If so - you had a breech presentation.
I'd love to know the truth of this. As your cervix didn't dilate you probably didn't have a head presentation.
How tall are you? What did DS weigh? Were his legs extended after the delivery (up around his ears) Is the earth flat?
I wish you could get your notes so that we can find out what happened. Mind you - the notes might not be terribly accurate.