Will my Rhinoplasty Change the Shape and Proportion of my Lips?

I agree that it sounds like you have what is referred to as a "tension nose".  This is caused by overprojection of the septum out from the face, pushing the nose and the lip just under the nostrils out as well.  The anterior nasal spine is the front part of the maxilla that the septum rests on.  In my experience, the anterior nasal spine itself is not usually the problem.  The tip cartilages need to be separated from the septum and pushed back, taking the tension off of the upper lip.  This produces a more acute angle between the nose and the upper lip, which is usually aesthetically favorable.   It is difficult to know if this is really the issue for you without looking at a picture, however. 

If you have a hanging columella this should be addressed by removing both cartilaginous columellar septum and any bony nasal spine that is present, which is pushing your columella downward. Once this is removed, the columella tucks inward and upward giving the elusion of a longer upper lip. It will not affect functionality, shape or proportion of the lips.