Facial filler can work wonders in the nasojugal groove when there is a true tear trough deformity. Fillers work best when there is a "hill-valley-hill" under the eye, I.e. a depression that needs filling. It is a little difficult to tell from your photos if you truly have this "valley", though I suspect th at you do to some extent. When people have a true tear trough deformity (a true "valley"), it's a trick of the light and shadow that makes th e udder eye circle look dark. And filler can get rid of this. However, if your dark circles are from pigmentation, then filler will not help.
I suspect that you could benefit from under eye filler, but you would need to be evaluated in person to really be sure. Please be sure to choose a highly trained injector such as a facial plastic surgeon, plastic surgeon, or dermatologist to perform your injections. I would caution that you often get what you pay for in terms of filler.