1) Director wanted to hire me, principal did not. Principal wins.
2) Director of Fine Arts wanted to hire me, Director of Human Resources said I didn't have the appropriate experience. HR wins.
FWIW, both positions would have been a horrible fit for me and it was a blessing that I was passed over.
My bigger problem is that you didn't hear directly from the district that you didn't get the job. Heck, I've never wanted to call people and tell them they didn't get the job, but I did it because it was the right thing to do and it was part of my job to do so. And now it's automated so you should get a "thanks but no thanks" email within 24 hours of another person accepting the job. Third party notification? Shameful.