Recurrent drooping of the eyelid (or eyelid ptosis) after a prior lift can be due to a variety of factors. Re-stretching of the muscle that opens the eyelid (levator) or breaking of sutures are simple causes. If the levator muscle is healthy, the muscle can be re-tightened or shortened. If the muscle is weak, or if a nerve palsy is present, correction may require a frontalis suspension procedure where the eyelid is lifted by surgical connections to the brow muscles. Levator muscle weakness can be associated with other conditions of the eye and body. You should go see an oculoplastic surgeon, who can help clear up what is going on. Good luck!
Signs of infection include fever, redness, swelling, and sometimes discharge. Any implanted or injected material may be associated with infection, tissue reaction or even rejection, at any time. Without a detailed examination, it is not possible to diagnose exactly what is occuring, but it sounds like you are having some inflammation related to the implant, the fillers, or both. If conservative treatments (like hot or cold compresses) don't help, you should be evaluated.
While there are a variety of reasons one may find Asian blepharoplasty results unnatural, a crease (or fold) that is too high is often the problem. This may be due to surgeon technique, but commonly undiagnosed and untreated ptosis (drooping of the eyelid) contributes to the unnaturally high crease. If so, ptosis repair at the time of crease revision can be corrective.
Astigmatism, unless very severe, usually does not alter eyelid shape. In some cases of keratoconus (a type of severe astigmatism), the warped cornea can push the eyelid (a.k. Munson's sign). Conversely, eyelid malposition, can cause astigmatism. A droopy upper eyelid can press on the cornea just enough to change the refractive power (your eyeglass prescription). Usually, this is minor and/or barely noticeable. Every now and then, glasses or contact need to be adjusted after the eyelid surgery.
In adults, it is appropriate to wait several months before worrying about lid position after trauma. In young children, one very important consideration is amblyopia, a condition where the brain favors a better seeing eye. If the damaged eyelid is impairing vision from the eye, go see a pediatric ophthalmologist or an oculoplastic surgeon soon (if you haven't already). Even if the eyelid is not completely blocking vision, the peripheral vision loss and possible astigmatism (gentle warping of the cornea from the weight of the eyelid) can cause the brain to favor the other, "good" eye.