Timi, one of the names will be, I think, Rhipsalis, but it could now be known by another name (things are always getting reclassified), like Hatiora. It's a jungle cactus, growing in the crotches of trees/limbs of trees, in leaf litter and fauna droppings. It needs excellent drainage.

My guess is Schlumbergia rosea, they are faily uncommon plants. But I am not sure,

Really too dark a pic to tell, but likely a Rhipsalis of some sort. Yes, a tropical jungle cactus, as described above. Wants bright indirect light only, not direct sun (in case you didn't know).