OK, so no-one is willing to suggest an answer to your questions, which means they are difficult plants to identify. I certainly think so!
Plant 1 - I don't recognise it, but counting spines (not a reliable method) it seem sot come out as either M. gigantea or M. sonorensis. Problem is that I don't recognise your plant as either of these two! So, sorry, no answer for now - but has it flowered at all? that might help.
Plant 2 - I'd suggest a form of M. rekoi, cylindrical growth habit, long lower hooked spine, though it is just possible it could be M. duoformis, a closely related species to M. rekoi.