Those are beautiful orchids. That is a pretty variety of Dendrobium. I have a purple one in the entry way of my house in Miami.
I'm inclined to agree that the orchid in the second set of pictures is a variety of oncidium.
Orchids grow like weeds in S. FL. We have Vandas and Dendrobiums in the yard. We had a really nice Cattlya, but it died in the Hurricanes.