Is the Skin on my Nose to Thin

You do have thin nasal skin.  The best way to tell is by looking at the thickness of the nostril rim, which, in you case is quite thin.  The problem with thin skin is that it will reveal ANY little irregularity under the surface, so the surgeon has to be exceptionally careful to sculpt the cartilage precisely. In your case, not only is the cartilage too prominant, but it is is also a little crooked.  To fix this, a little cartilage would have to be removed to bring down the hum and a little cartilage would have to be added to the relatively concave side of the nose to produce better symmetry.

The problem with thin skin is that it reveals every imperfection - you can benefit form a revision but make sure it is with an experience surgeon and consider a soft tissue (fascia) graft under the skin

The area on the bridge of your nose seems to be cartilage pressing on it. While you may have very thin skin, this should not be visible. Rhinoplasty on patients with thin skin is more difficult in that every milimeter must be at the correct level so that there is nothing showing through. This, however, seems excessive.