I have a long face with close set eyes. Could a nose job help or would it just make my face look longer? (Photo)

I'd only consider working on the nose. The other items you mention: close-set eyes, small facial asymmetries -- we can't change those anyway.Click on the "Learn more" link, just below my response, or go here:
FacialSurgery.com/RealSelf/RealSelf_littlelizzard07.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 narrowed the tip. Your face is a little tall, but really, not so unusually tall. Your nasal profile is mostly fine: there's the tiniest bump that could be filed down, it doesn't protrude too far from your face given your strong chin. Some people might want the tip to be elevated some, but with your tall face, it's not necessary, although some elevation could be accomplished without making it look too short. So the task would mostly be narrowing those strong tip cartilages that make the tip look round.
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. 
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. 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. 

Hi and thanks for your question and photo. Your nose is a little short for your face, if you strictly measure and look at facial analysis. You could google search facial analysis and something called the “golden ratio” or Devine proportions. Actually facial analysis and proportions have been looked at and studied by everyone most famously by Leonardo da Vinci. Your upper,lower and middle face should be about equal heights and if you strictly adhere to this your nose would be a little short in length. A rhinoplasty could refine the width and rip of your nose and improve slightly its shape. However if your rap issue is facial height and shape, it would not solve your issues. Overall to my eye your facial looks are quite balanced and while not perfect create an attractiveness that may not improve to your expectations.  So if it is the nose alone yes if it is the nose and how it fits the face no because lengthening the nose is frought with issues. Good luck!