To lengthen your nose, cartilage grafts are used. There are a number of sources for these cartilage grafts. In order of preference, it's nasal septal cartilage, ear cartilage then rib cartilage.
It is possible to have injury without significant pain, albeit rare. After one year it probably will not improve. An examination and possibly a CT scan can determine the extent of the fracture and deviation. From there your surgeon can suggest a plan which can include surgery. If...