The last two photos of fruiting bodies as well as the leaf shape do match Rhipsalis pachyptera well Myriam! There's more than one species in the illustration, look at #6.
http://www.plantillustrations....
I don't think the first two of your last set are the same though.
The above site has drawings of many species, it may or may not help.
http://www.plantillustrations....
