Chemosis or Ectropion After Blepharoplasty?

Dear Scared
You can be completely confident with the oculoplastic surgeons at the University of Miami. They are extremely experienced in dealing with these issues. Unless your original surgeon was an ophthalmologist or a fellowship trained eye plastic surgeon, you were not examined using a slit lamp microscope which is a very specialized piece of equipment that general plastic and facial plastic surgeons are not trained to used and don't possess in their offices. This instrument is very helpful to identify even trace amounts of chemosis, which is swelling of the conjunctiva, the white of the eye. In fairness to your original surgeon, you may have initially had chemosis but as the swelling resolves, the chemosis can also settle.
Regarding tobradex, the steroid in this medication can raise the eye pressure. The antibiotic is also irritating. There are specific indication for this medication but treating chemosis is not one of them. On balance, a bland ophthalmic ointment without the steroid or the antibiotic would serve the same purpose. This may be helpful at bed time to keep the eyes from drying out. An artificial tear drop every few hours during the day will also keep the eye more comfortable. So the doctor you saw at the University of Miami is correct in their assessment and management. This should not be surprising as a full time university base eye plastic surgeon will have much more experience in eyelid surgery than your community based plastic surgeon.
And yes this can be fixed. Take a look at my website: lidlift.com for examples of these repairs.

You appear to have minor ectropion from the photo. It is not clear if you also have chemosis. The eyelid specialist (oculoplastic surgeon) is probably correct in his/her diagnosis. A short course of steroids will not cause any problems, so you probably should use them as well as taping your lower eyelid upward. This is an easy problem to correct should it not resolve. 

Your pictures demonstrates an early ectropian. This has
resulted in downward pull on your lower eyelid and exposure of the white
portion of your eye.

                  In
the early post-operative period, ectropians can be managed conservatively with
massage and eyelid taping to support the lower eyelids. In most cases the lower
eyelids will snap back and patients will have total
resolution of their problem. When lower lid drooping persists after a suitable
period of time has elapsed, surgical correction may be necessary.

                  This
problem requires close monitoring by your surgeon. In some cases consultation
with an expert in eyelid reconstruction may be necessary.