Yes it is animated using an empty that all parts are parented too for entire model movement. And the drawers are animated with their handles.

Yes when using the wash stand with the doors closed you can hide the web framing of the interior by disabling that render slot so you are not dealing with unneeded geometry.

Yes all parts, except the brass handles are using texture maps so you can use your own or disable them and use just a PBR set up. Everything has a principled shader so their is a lot of versatility.