Eye bag on left side of face. Slight protrusion along tear trough on right side of face. What can I do about this? (photos)

You appear to have no "eye bags," but, instead, "tear troughs," depressions because of the underlying muscle and ligaments and early relaxation of the tissues. Although a properly done blepharoplasty can correct this, the simplest and safest method is use of a filler. This has to be done by someone very familiar with the anatomy and use of fillers in this area to prevent problems. The only fillers I would use here is Juvederm Voluma, Radiesse or fat. Of these, fat is the most long lasting. Of the other two, Voluma lasts on the average 6 months or more longer than Radiesse (generally 2 years or more). All frequently require a 2nd injection to get the optimal result. Make sure you see someone with significant experience in both off the shelf fillers and fat and treatment of this area. (See ExpertInjector.org and plasticsurgerytoday.com/non-surgical/todays-liquid-lift-wrinkle-and-contour-correction/)