I have a severely deviated septum but I’m wondering if septoplasty will fix my asymmetrical nostrils as well? (Photos)

Most people don't see you in the angle where your head is tilted up, so nostril asymmetry isn't as important as some other features. You do seem to have a wide tip. The woman in the short video that I posted with this answer had her wide tip address in her rhinoplasty.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. 
Your a nose with a wide tip 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. 
Finally, I usually make computer morphs when I'm answering a RealSelf question, to show the changes that are possible for your nose with a rhinoplasty. But unfortunately the photos you submitted aren't good enough for making morphs. At the *very* bottom of the "Learn more" page is a link to instructions on taking photos that are more comprehensive and useful for online consultations like this, in case you'd like a more complete evaluation.

 A septoplasty is performed in the back of the nose to improve airflow dynamics, and does not change the shape of the nose. It is only performed for medical necessity to improve airflow. A rhinoplasty procedure can accomplish straightening the nose, narrowing the bulbous tip, and adjusting the nostrils. The nostrils will never be perfectly symmetrical.  Rhinoplasty is very difficult endeavor, so choose your surgeon wisely based on extensive experience. For more information about the differences between rhinoplasty  and a septoplasty, please see the video below

although your photos are taken so close as to make ANYONES nose appear distorted, there is no doubt you are a likely candidate for rhinoplasty... the best chance of success in primary rhinoplasty is to have a careful evaluation, thoughtful plan and meticulous execution by an experienced rhinoplasty surgeon with a practice focused on rhinoplasty.... visit a few to get a good feel and vet the process so that you “get it right the 1st time”Good luck