What can be done to fix my side profile?

What can be done to fix your side profile? According to widely accepted aesthetic norms your nose would be considered to be slightly over projecting and your chin, slightly under projecting. Some surgeons might recommend a Rhinoplasty to reduce the projection of your nose and a chin implant to increase the projection of your chin. But this is all a matter of taste.

I'm not really clear what you mean by "droop down in a recessed way", but I can tell you judging purely on those photos, it doesn't need 'fixing', because it isn't broken. If you are very unhappy about your profile, you might want to have an in person consultation with a qualified plastic surgeon to explain your concerns in detail, to see if it could potentially be changed (not fixed!) to something you prefer.

I believe you are referring to your chin which is vertically long but horizontally short. A sliding genioplasty that brings your chin forward as well as vertically shortens it as it comes forward will change both adverse chin dimensions. Computer imaging can show what effect that type of chin change will create on you.