Hi hun,
I had very similar experience with DS#2,,,,,his head would not engage, the doctor did an internal, said I was very small built, and as he did the internal, he tried puching down on my belly a little, to see if bubs head did move down a little,,,,it was firmly in place and didnt move at all.
I was then booked in for a caeser the next day at 37weeks, 5 days, as i was told that bubs head could not even engage at all because I am too short (barely 5 ft 5, and hubby is 6ft 4) and small in size internally.
At the caeser, it was discovered that bubs had his arm over his head into my pelvis, and this is why he would not come down at all. He did however weigh in at 8lb 10oz, and my OBGYN said I would have never birthed him anyway as I am the same size as my mother as well, and she had to have emerency caesars with all three of her children, and we only weighed in at between 5 and 6lb,,,,,,we all got stuck. He also stated, that with his arm over his head like that, if my water had broken, the umbilical cord could have prolapsed, so it was safer to have had the caeser anyway.
So who knows what I may have been capable of if he had given me more time, and more faith????