Are the changes I want done on my nose possible? I want the height lowered and nose shortened.

I would recommend starting with a consultation with a board certified facial plastic surgeon that specializes in rhinoplasty surgery to discuss if rhinoplasty can address your concerns. 
I would recommend writing down the following questions before scheduling your consultation:
1. Are you unhappy with the tip of your nose? 
2. Do you feel that your nose is too wide? 
3. Do you want to make your nostrils smaller in appearance? 
4. Are you looking to decrease the general size of your nose?
I hope some of these questions will help you pinpoint what it is that you don't like about your nose.  Cost will vary due to various factors like anesthesia fees, facilities fees, etc. I wish you the best as you research your options when scheduling a rhinoplasty consultation.
Sincerely,
Philip J. Miller, MD, FACS Double Board Certified Facial Plastic Surgeon

Hi and thanks for your question and photos.  Yes, absolutely the changes that you made to your photos are possible. I do believe that you would also benefit from a chin implant to balance you profile.  My charges for a rhinoplasty along with the facility and anesthesia fees are within your price range.  If you add a chin implant on to the procedure, that would put you a little bit over your price range.  I would be happy to see you for a consultation with computer imaging as my office is in the Philadelphia suburbs.  

The photos that you have provided demonstrating the changes to your nose can certainly be achieved.  I would caution you however, that the nasal bridge is a bit too narrow and I suspect that you would not like that in the long term.  The cost that you have been quoted are certainly reasonable but the most important thing is that your surgeon has great results and you like them!

Click on the "Learn more" link, just below my response, or go here:
FacialSurgery.com/RealSelf/RealSelf_Lp568.html
I made a computer morph of your nose, and an animation of the morph, to show the changes that are possible for your nose in truly expert hands.I lowered the bump on the bridge, elevated the tip, and then brought the entire nose back closer to your face. I also added some to the strength of your chin. Adding strength to the chin makes the nose look even better, and it's a very safe procedure.The photos you posted weren't ideal for showing the width of your tip, but I posted a short video with this answer of a woman who had the tip of her nose narrowed in a rhinoplasty operation.
See if you think the morph captured what you're looking for.
You should understand that the changes I demonstrated in the morph require advanced techniques, techniques that most plastic surgeons cannot handle.  Be sure to read the section in the "Learn more" link on how to stay out of trouble while searching for a rhinoplasty surgeon. Rhinoplasty is an exquisitely difficult operation to get right, and you should only have surgery if you are able to make yourself very confident in your surgeon's skills. Read that page very carefully. Most plastic surgeons are quite poor at this operation, and I believe my advice will go a long way toward keeping you safe. For most noses, it's better to not have surgery than to have inexpertly-performed surgery.
I'd love to hear what you think of the morph. Did it seem to address your main concerns? I could modify the morph to your taste if you wish.
Your nose is also a good example of why computer imaging is mandatory in rhinoplasty. You need to know exactly what the surgeon is planning to accomplish -- what features he thinks he can change, and by how much he thinks he can change them. When you see his goals, you'll know whether he has an eye for an attractive nose, and whether he shares your opinion of what constitutes an attractive nose. You'll also know whether the changes he proposes are enough to be meaningful to you, and whether he understands your wishes enough to address all of your priorities. How would you ever get that figured out without the morphs?! But remember, you're not hiring him for his skills with the computer. The doctor must then show you his before and after photos to prove that he can actually accomplish what he draws on the computer.
In your case in particular, you need to find a surgeon who understands all of the issues I mentioned, and how they fit together, and who can actually accomplish them in surgery. 

Your morphed photos appear reasonable, except your bridge may appear a bit too narrow on front view than an actual surgical result. Wishing you well choosing a specialist! Dr Joseph

Hello and thank you for your question. Based on your
photograph, you may benefit from a tip refining rhinoplasty. Your surgeon can
accomplish this by trimming, suturing, and reshaping the cartilage in your
lower nose. You may also benefit from a nasal tip projection and a conservative dorsal hump reduction.  Cost varies based on geographic region and surgeon expertise.  Make
sure you specifically look at before and after pictures of real patients
who have had this surgery performed by your surgeon and not just a computer
animation system. The most important aspect is to find a
surgeon you are comfortable with. I recommend that you seek consultation with a
qualified board-certified plastic surgeon who can evaluate you in person.
Best wishes and good luck.
Richard G. Reish, M.D. FACS
Harvard-trained plastic surgeon

Your nose could be improved with rhinoplasty, which would give permanent improvements in symmetry and shape. You can bring the pictures that you think would be flattering to your face and these can be discussed. When you meet with a facial plastic surgeon, he or she will consider your nose in balance with your other features and can over the cost of the procedure. Hope this helps.

A rhinoplasty procedure can accomplish shaving down the dorsal hump, and decreasing the overall projection of the nose on with narrowing the tip and the bridge line. Spreader graphs will be required to prevent excessive narrowing of the mid-vault portion of the nose. Consider placement of a chin implant augment the chin forward to help with facial balance and proportions, especially with respect to the side profile and the nose

Hi,
Based on the photos you provided, you  have a bulbous nasal tip with dorsal hump. The bulbous tip would need to be reshaped; grafts may need to be used for tip support and rasping of the dorsal hump. Bulbous tips are by far the most challenging cosmetic operations in cosmetic surgery. This because the anatomy and skin thickness requires special techniques to achieve desired results. Do your research online and try to choose a surgeon that can deliver results that you seek. They should have numerous before and after photos with results you like and seek. Choosing the right surgeon who has experience is imperative; you want to avoid any revision in the future. You can send me your photos for computer imaging.