For rhino, I didn't have ANY tests done at all. Which is honestly quite frightening. Before that I had never undergone any surgery at all, and although to my knowledge I wasn't allergic to any drugs, I could've been.
I consulted for facial contouring (originally for mini v-line, but they recommended T-osteomy) but didn't go through with it. I had my jaw scanned which showed the bone structure and location of nerves, which is super important for deciding how much you should cut off.