I am really bothered by the bags and dark circles under my eyes and the shape of my mouth. (Photos)

Under eye bags and circless can be permanently corrected with surgery or temporarily camouflaged with fillers.There are great non-surgical options to fill in under eye depressions and hollowness. Using dermal fillers, a liquid eye-lift can be performed. A dermal filler such as Restylane would be placed in the cheek and tear trough to hide the depression or bag underneath your eye.
Surgery would require a fat-repositioning lower lid blepharoplasty. In this surgical procedure, fat from the eye area is moved into the tear trough depression filling the actual depression. Lip augmentations with fillers is a great option to improve the fullness, suppleness and symmetry of the lips. I prefer to use a micro cannula to inject the lips to prevent bruising. Look for a cosmetic dermatologist or plastic surgeon who is an expert in fillers. 
I hope this helps.

A combination approach will give the most improvement. Fillers, lasers, and microneedling/PRP can improve under the eyes. These lip fillers (Volbella, Restylane, Juvederm) are good for creating a symmetrical and full lip. Nova threads can be used to improve lift and shape. Implants or fat are alternatives. I recommend getting a formal evaluation with a facial sculpting expert to go over your desired results. Best, Dr. Emer