i need the names

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https://i.servimg.com/u/f39/18/89/18/91/2014-020.jpg

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OK, and hello. I'll have a go at your quiz?

Ist post
#1 is M. geminispina
#2 - if it is a Mamm, then it might be related to haniana. Does it have axils? I can't see in you rphoto.
#3 is M. polythele.
#4 looks like one of the M. spinosissima forms, but not sure which.

2nd post.
#1 I don't immediately recognise, I'd like to see it from the side and also know if the flowers are red/pink as they suggest.
#2 is a form of M. magnimamma, such a variable species, but its a bit young yet to try to add a form name.

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Really not sure about this one. At first I thought it might be a form of M. polythele, perhaps durispina, but the short central spines don't fit that description. I have seen other plants called polythele with a central spine, and some suggest that this is because they are natural hybrids with M. rhodantha.
But as to yours....I can't be sure. Sorry.