It looks like the three larger of those should make it with out too much worry! I bet you will give'm the care they need. Too bad about someone rotting the roots away.
I was in our local discount store and saw three orchids on the plant shelf. I went over to take a look to see what they were. I lifted a phal up off of the shelf and murky water poured out of the pot. They were all sitting in about two inches of water. (Next to some cactus [NO KIDDING!!!]), it was so sad. The bark was mushy and the plants looked droopy already. As a plant lover, I hate to see things like that.
I am glad this catt is in your hands. Keep us posted on the progress of growing some roots!