No 2 looks like M. karwinskiana to me as well. No 3 looks like a cross between M. microhelia and M. elongata, rather than a cultivar of M. elongata alone, but I don't know cv. Pink Nymph myself, though this website shows a plant that looks very similar to yours, so probably yes.
Now to No 1. I suspect that this could be a form of M. hahniana ssp. bravoe rather than M. chionocephala, as the flower colour looks a strong pink, rather than the pale rose-pink to white normally seen. Both species have 2 central spines, many white radial spines, and both wool and bristles from the axils. So, of course, if you don't know where the original plants came from in Mexico, it is difficult to tell. However, in time, M. chionocephala will distinguish itself as it becomes tall, and rarely offsets until it is perhaps 20cms tall.
Sorry I could not be more definite.