Can Plastic Surgery Help my Eyes Look Less Tired?

I do see hooding of the upper eyelids. In addition, the lower eyelids slant down at the corners whioch exacerbates the tired eyes look. An upper blepharoplasty will open the eyes by removing excess eyelid skin which is causing hooding. In addition, the canthal ligament which supports your lower eyelid can be tightened through the upper eyelid blepharoplasty incision which will elevate the corner of the lower eyelid and make you look less tired.
Not all plastic surgeons do this canthopexy through the upper eyelid incision. Be sure to ask specifically for this and find an experienced eyelid surgeon. A blepharoplasty alone without the canthopexy will be disappointing
See before and after photos of upper and lower laser blepharoplasty.

The largest component of the tired look in your eyelids is the severe downturn of the lateral portion of the lower eyelids. A canthopexy or canthoplasty should be performed to bring this portion of the eyelid up so you do not have a tired, sad-eyed appearance. The dermatochalasis that is present can certainly be addressed through both an upper and lower blepharoplasty. The primary goal for upper blepharoplasty is to remove excess skin and a little bit of fat. The primary goal for lower blepharoplasty is to remove mostly fat and occasionally a pinch of extra skin if necessary.

I agree that your eyes look tired for the reasons already stated: the downward tilt of the eye as well as the low position of your upper eyelids. It is hard to say if there is true surgical eyelid ptosis, since the angle of the photograph can influence the upper eyelid position. There are drops that can be used to raise the upper eyelid margin a few millimeters. If that greatly improves the appearance of the eyes, then eyelid ptosis may need to be addressed. These drops are prescription only, so you would have to have a consultation with a physician first.
If you have true ptosis, than that can be repaired by tightening the upper eyelid retractor muscle. You may also have low lying eyebrows (more on the right than the left), which can be raised with an endoscopic brow lift. A botox brow lift may give you an idea about whether this procedure is right for you. A lateral canthopexy can help to alter the eye shape so that the lower eyelid is more horizonal.
Make sure the photograph is taken by someone else from the exact same height as your eyes and I can comment more on whether a ptosis repair is needed.
Good luck