I'm a male, 24 y.o who think I may have self-diagnosed myself with a sunken right eyeball (enophthalmos). Any suggestion?(photo)

Enopthalmos occurs when a fracture of the orbit causes the globe (eyeball) to sit further back in the eye, and can be seen when the head is tilted back (the angle your photo was taken at). Hypoglobus means that the globe is sitting lower down (more inferiorly) in the orbit, and can be seen when looking at the face straight on. Both Hypoglobus and enopthalmos are usually operated on when they cause vision problems such as double vision, which you don't mention experiencing.  Based on just your photographs, I don't see any noticeable enophthalmos, but the best way to measure this is in person, using a special device which measures the position of the eye. If you are concerned, I would recommend seeing an ophthalmologist in your area for an evaluation. 

Hi. Enophthalmos can be due to many causes including trauma. Assessing enophthalmos requires precise measurements, including using an instrument called an exophthalmometer. Imaging studies (CT or MRI) help as well. I would schedule a consultation with an Oculoplastic surgeon, as they are experts in orbital diseases and surgery. Best regards, Ira Vidor, M.D.