I have lower right back pain just above my butt, I sit a lot for school and work and favor my right side for computer work, is this a plausible cause?

Yes. It is common for persons with desk jobs to develop back and buttock discomfort. Why are you favoring your right side? I tell all my patients with desk jobs to get up at least once per hour to stretch or walk around. Also, make sure you have a comfortable chair with proper lumbar support.