I dunno about Ceres. From what I've heard that's mostly water ice, and would be liquid for the short time until the water evaporated in Earth's orbit.
I don't see that. My understanding is that Pluto and the other Kuiper belt objects are largely snowballs that would become smaller iceballs or even comets nearer the sun. Haumea would presumably break up due to it's rotation rate if it melted.
The surface is infinitesimal, the main body of the Earth is rock allegedly solid most of the way down, but somehow flowing too.Similarly, Earth loses its planetary status, as the majority of its surface is liquid.