Will ptosis repair surgery help my eyes and give them a better look, especially when smiling?

Karl,
Based on the single photo that you provided, I appreciate mild ptosis of the upper eyelids that is slightly asymmetric.  What stands out more to me is the heaviness of your brows related to brow ptosis.  The distance between your upper eyelid lashes and the lower edge of the brows is very small, compromising the aesthetics of the eyes.  Optimal improvement would be provided by a brow lift and upper eyelid ptosis repair.

You have detachment of the muscle that opens your eyes, causing the eyes to half-way close. typically, patients will raise the forehead to help open the eyes. When you smile, the brows drop and are no longer able to assist in eye opening - at this point you are seeing the true position of the eyelid. Ptosis repair will place your eyelids into the proper position. You may consider combining it with an endoscopic browlift if you want to maximize the appearance around the eyes.

It appears you have upper eyelid ptosis which can only be effectively improved with ptosis surgery. See an oculoplastic surgeon for evaluation and treatment.