The damage from and away from the nostril appears to be from a sharp edge that your Parrot has found and is rubbing that area against. The sharp edge is likely to be medal and should be filed smooth.
My good friend above has a solid suggest regarding a possible respiratory or sinus infection as a source for the want to rub that area of the upper bill. As stated, see an Avian Vet, ASAP.
The white spot is abnormal and likely carried to that spot by rubbing on a white surface, which then transferred to the bill. That area above the white spot appears to be damaged as well and I am guess so is the area under the white spot. That implies that the cage maybe the source or another white object.