Will adding a graft to the tip of nose project my nose more and if so will it look bad?

You have that hump on the bridge that can be taken down, but you have thick-ish skin, and, from these photographs at least, tip cartilages that are not the thickest and strongest, and that means that it will take exceptional skill to elevate the tip to where it needs to be.
If your bump is taken down and the tip is not elevated substantially, your nose will look much worse. 
The issue of a tip graft isn't important. If you select your surgeon well, he'll use one if he feels it's necessary and not if he doesn't, and if he's very good he won't do anything bad to your projection. I see the tip elevation as the most technically-demanding part of the operation, and putting in a graft would not do anything toward elevating the tip.
Remember that 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. The changes I described above require advanced techniques, requiring skill that most plastic surgeons don't possess with expertise. For most noses, it's much better to not have surgery than to have inexpertly-performed surgery. Read my essay on how to stay out of trouble while selecting a rhinoplasty surgeon.
Your nose is also a perfect 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. I always email morphs to my online rhinoplasty consultations. When you see the surgeon's goals in the morphs, 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 large 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 the surgeon 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.

Hello,More photos are needed for better evaluation, Each face has different proportion and facial features, your issues can be addressed to hump removal and tip evelation.Well proportioned, balanced look can be achieved with maximal healing and minimal tissue damage by Closed and Atraumatic Rhinoplasty.Best Regards,

Dear jaqvi,Adding a graft to the tip to give it support may or may not affect the projectionFor example, you can take down the hump, lift the tip, deproject it and then add a tip graft for better definitionI know it seems counter intuitive, but sometime you have more control of the look of the nose when you do it that wayFor thicker skin, I would also use a tip graft to control definition.  A morphed image should be done to reassure youBest regards,

Dr. Nima

Member, American Academy of Facial Plastic and Reconstructive Surgery

Board Certified Facial Plastic Surgeon

Board Certified in Head and Neck Surgery