Would infra orbital rim implants be sufficient to fix my eye area? (photo)

Infraorbital rim implants can help with all the issues you describe, either directly or indirectly, with possible adjunctive procedures. There are limitations to its effect. It is designed for patients with under eye bony deficiency, not just soft tissue hollowness. The technique of placement of implant and type of implant are critical too. It is best placed using transconjunctival (inside eyelid) approach. Solid silicone implant is safest. Depending on the size and position of the implant, it can also add volume to the cheeks if desired.

Without seeing your face in profile it is impossible to address your question specific to your face. However, I will  say that implants are unlikely to address all your concerns. Your cheek/malar volume can more easily be enhanced with a hyaluronic acid filler placed deep on the bone. Fillers run in the $500-$600 range for a syringe depending on the product. Seek out a consultation with a facial plastic surgeon/plastic surgeon/oculoplastic surgeon with experience addressing these concerns to get a complete assessment and guidance on how to best address your goals.

I recommend against using implants for your problem. You're better off having Restylane injected  beneath your eyelids to enhance your cheek region and elevate your eyelids. See a specialist who deals with this particular part of the face. Best of luck. 

While you only showed a front view picture you undoubtably have a negative orbital vector. This is a result of an underlying skeletal deficiency that extends beyond just the inferior orbital rims. It involves the cheekbone as well as the inferior orbital rims,. The best correction comes from a customed designed orbital-malar implant designed from a 3D CT scan.