I'm not sure about the answers to your questions about baby's position - it's hard to say because it can be really tricky to tell even when you're the one feeling it!

But I can say that my DS was breech and sometimes transverse until 32 weeks. I remember very clearly when he turned head down because I felt alot of movement, and for a few hours the skin on my belly felt like it was stretched right out, and looking at my belly it was a funny shape. I also felt alot of pressure in my back.
After a few hours the pressure relieved, my tummy looked and felt normal again and the next day I was told he was head down.
So I definitely noticed it when he moved so entirely possible that's what you're feeling too.