VansMen's Doheny Decon Suede Sneaker

I brought these they whee very small like kids 6 my daughter where a5.5 to a 6 but these were very small in a size 6 so what size should I order

If I wear size 9 in men’s what do I wear in women’s?

Are the size options listed uk sizes or usa sizes?

Are these real vans?