Would DNA appliance and/or IPR or extraction fix this kind of teeth flaring? (Photos)

You ask some great questions. Most likely your overly flared teeth are the result of insufficient space to upright the teeth along your dental arch. You could perform IPR to make the teeth narrower and thus allow the teeth to fit along your dental arch in a more upright and natural position.

In my opinion, the far better way to correct the overly flared teeth is to increase the size of your dental arch. This could be accomplished with a DNA appliance or any number of other fixed or removable arch development appliances. The reasons this is a better option is that you will have a broader, more attractive smile and you will have healthier TMJ's and airway.

Good luck!

The tongue is probably causoing your issue.  An oral Myofunctional Therapist may be able to solve problem be retraining your tongue,  Ira L Shapira DDS, D,ABDSM, D,AAPM, FICCMOPast Chair, Alliance of TMD OrganizationsDiplomat,  Academy of Integrative Pain ManagementDiplomat, American Board of Dental Sleep MedicineRegent & Fellow, International College of CranioMandibular OrthopedicsBoard Eligible, American Academy of CranioFacial PainDental Section Editor, Sleep & Health Journal
Member, American Equilibration SocietyMember, Academy of Applied Myofunctional SciencesMember, Academy of Cosmetic Dentistry

Hello there, it is great that you have included pictures and xrays but that gives us limited information. We need a through exam to give you a better idea. With that being said, if we were only going of your xrays, it appears that your premaxilla is set back. DNA along with developing your premaxilla will have a great impact. Myofunctional therapy is a must in your case. You will see alot of other health benefits if you commit to the treatment. 
Do not do IPR.
Best of luck!