Your Eyelid Wrinkle is a Tear Trough
The crease you see there is called the tear trough and is normal, but if it bothers you and you feel you look more tired because of it, some filler in the area can make it less noticeable. Start with a hyaluronic acid filler such as juvederm, restylane, or belotero, because they can easily be reversed if you don't like the outcome. Most people who get filler here feel they look much more rested and appear younger and more attractive. I wish you the best of luck, Dr. Emer.
Your crease under the eye is due to a lack of volume in this area.
This is called the tear trough. If you put some filler, such as belotero or restylane into the area, it will make it look much less hollow and dark.
Under eye groove
That crease or groove is quite common and is referred to as a tear trough and can worsen with age from bone resorption in the medial cheek. I would recommend hyaluronic acid filler like Restylane, Perlane or Juvederm to improve this. I would recommend seeing either a board-certified dermatologist or plastic surgeon for this treatment.
Lower eye crease
This crease is called the tear trough deformity and it can be prominent in young individuals. The best way to treat it is with fillers. You must be very careful with these though as they are very unforgiving in the eyelid. One filler that works well is fat, and you can use your own fat to correct these deep troughs.