If you look carefully at your face, the entire left side is slightly underdeveloped or hypoplastic. This is seen by a lower eyebrow, inferiorly positioned eyeball, smaller cheek, thinner soft tissues and shorter jaw from chin back to the jaw angles. The jaw asymmetry in particular is magnified when you smile as the soft tissue of the chin is pulled back and deviates to the weaker or less developed side. There are a variety of facial asymmetry procedures that can be done from the eyebrow down to the jawline/chin. What you would do depends on how much of the facial asymmetry bothers you and what asymmetry location is most disturbing. The chin/jawline is the most obvious to you and this can be treated by a sliding genioplasty to move the bony chin over to the midline possibly combined with a small jaw angle implant in the back.
Yes, your face is asymmetric, but many faces are. Ideally, you would have both upper and lower jaws moved into proper position. A maxillofacial surgeon could discuss this option with you. An alternative would be to build up the left side of your face (particularly the cheekbone and outer lower jaw areas) to try to match the more normal right side. Some manipulations with your eyelids and eyebrow on the left could also be considered. Please consult with a surgeon experienced with the treatment of facial asymmetries.
Many, and maybe all of us have some features that are asymmetric. They are what make us unique. The name for asymmetric cheekbones is mid-facial hypoplasia and in some cases can be helped with corrective surgery and/or filler treatments in certain cases. But for many of us, it's great to embrace these minor 'imperfections' and understand that they are very common. Discuss your case with a specialist and good luck!
Without an in-person exam, it is not possible to say what exactly is the issue. The eyes seem to be at slightly different levels but most noticeable is the left brow being lower and the chin tilting to the left with smiling. At rest, it appears symmetric. You may have mainly an issue with your facial nerve. Has your appearance gotten progressively more apparent? Imaging should be done to evaluate you further before treatment is done. If it is mainly a facial nerve issue, then Botox may help. If it is indeed a boney asymmetry, then grafting or repositioning the bones may be required. Best wishes.