If you truly have a prominent fat pad of your lower eyelid (difficult to tell from the photo), then the only solution is a lower blepharoplasty. Filler will not solve your problem and only look worse. However, it appears that you have both a fat pad (volume excess) and a tear trough (volume loss). In this case, I recommend lower blepharoplasty first, then 6 weeks or more later after the swelling has resolved, filler to the tear trough.
I do appreciated some degree of crepiness of your lower eyelids. I also see the fullness, although mild, that you are talking about. An appropriate surgical candidate for a blepharoplasty has to do with the condition that is present rather than age. It is actually best to have surgery earlier in life, since it is often less complicated, which means less down time, less surgical risk, and less money! Also you are able to enjoy the results longer during the prime of your life. The duration of results for a lower blepharoplasty is about 25 years.
If your eyelid margin (edge) is truly lower on one eyelid than the other, then you likely have eyelid ptosis (a weak eyelid muscle). This is corrected by tightening one or both of the eyelid muscles that raise your eyelid, which is called ptosis repair. You also may have some redundant eyelid skin (dermatochalasis), which can also be addressed by performing a blepharoplasty.
While the photos are blurry, it does appear that you have some degree of volume loss in your tear trough. The volume loss component can be treated by hyaluronic acid fillers. If there is hyperpigmentation of the skin, this can be treated by topical creams, ex., hydroxyquinone and 2% Alpha Arbutin. It is most important to only see an ASOPRS certified oculofacial plastic surgeon because it the filler is not placed properly in your tear trough, it can result in blindness.