Yes you can still see/get to the Rhino house. You can walk down the path to where the junction in the path is so can see the outside paddock as well. And with regards to your second question I can't answer as I don't tend to visit that part of the zoo often.
I will say that on my brief visit today from the roundabout you can now see the wooden framework of a building near the boundary fence.
When I last visited you could not get to the dik-diks or the Wetlands Aviary viewing hyde.