Under Eye Loose Skin and Wrinkles Normal After Blepharoplasty?

The loose skin under your eyes can be improved by doing a pinch blepharoplasty technique without increasing your risk of your lower eyelids getting pulled down like a hound dog. This pinch blepharoplasty technique is very simple and can be done in under an hour and usually takes 30 minutes. I wouldn't be too upset. I'm sure your doctor will be happy to do this for you.
One thing that can help those wrinkles and make you look more natural is too add volume under your lower eyes through dermal fillers or fat injections. This is a more natural way to improve the appearance of your lower eyelids and any sunken cheek type of appearance. This can lift your cheek and help remove the bags under eyes and improve the dark circles under your eyes. This is definitely a great option for this area.
Consulting a board certified facial plastic surgeon would be something that I would always recommend. We specialize in the face and are the best qualified to help you in the face and neck area when it come to facial plastic and reconstructive surgery.

It's not unusual for patients to have significant swelling following blepharoplasty surgery. This swelling can obscure the final aesthetic result and be the source of tremendous anxiety for patients. In some cases, it can give the appearance of excess skin and residual eyelid wrinkles.When patients undergo this procedure, excess skin and fat are removed from the lower eyelids. Unfortunately, this procedure doesn't always impact fine wrinkles that occur on the lower eyelids. Efforts to remove fine wrinkles by removing additional skin can be associated with severe complications. Under these circumstances, the lower eyelid can pull in a downward direction. This condition is called an ectropian and often requires revisional surgery. It's difficult to evaluate the aesthetic result in someone who's still swollen and only two weeks post-op. It's, therefore, important to be patient and give your swelling time to resolve.Once your swelling has resolved, you might ultimately be happy with your result. If you're not happy with your result because of eyelid wrinkles, you may still be a good candidate for eyelid re-surfacing.

Blepharoplasty of the lower eyelid can remove puffiness and eyelid bags and tighten the lower eyelid skin.
The tightening of the lower eyelid skin does pull some wrinkles and loose skin tighter, which improves skin appearance.
You are very early in your recovery, and it takes 6 weeks to 3 months to see a more accurate picture of your results. I am positive you will look better in a few weeks.
If the eyelid skin has many wrinkles, Blepharoplasty alone is not enoiugh to remove them. The accepted method for removal mof eyelid wrinkles is fractional ablative laser skin resurfacing. If you need this you can have it done after Blepharoplasty, usually by 3-6 months.
The reason that enough skin to remove wrinkles cannot be removed from the lower eyelid during Blepharoplasty is that if too much lower eyelid skin is removed in an attempt to remove wrinkles, the lid can be pulled down into a sad eyed look called an ectropion, which is a major problem.
See before and after pictures of lower Blepharoplasty plus fractional laser skin resyurfacing of the lower eyelid.