1 Week Post Eyelid Surgery and Right Eye is Much More Swollen Than Left. Options? (photo)

I see no reason for you to have upper eyelid surgery in the before picture.  I agree with your assessment that it appears that you now have a problem in the right upper eyelid.  However, you are extremely early from the surgery and need to heal.  It is much better to assess the effect of the surgery at 2 to 3 months.  In addition to the upper eyelid asymmetry you may have other issues as a consequence of this unnecessary surgery.  TIme will hep some of these issues.  Try not to beat yourself up too much over this choice.

One week after surgery is very soon to start worrying. Be patient with your body as it heals. At this point, there is very little to worry about because there is no surgery to be done anyway. Wait at least 3 months before making any final decision regarding the end result of the surgery.

In general, i rarely remove fat from the upper eyelid, as removing fat may lead to hollowness. This is not a hard and fast rule, however.

Be patient

The photos show no real difference in the lids but you are not looking straight ahead. At 1 week way to early to be so concerned. Besides there is nothing to do a this time but HEAL. 

 Of course you can and should ask the plastic and cosmetic surgeon that did your Eyelid Surgery this question.  IMHO, it's extremely common for one eye to be more swollen than the other after eyelid surgery and I tell patients it can take up to 3 months for the upper eyelids to be fully healed.  I tell all patients to avoid strenuous activity for 1 month post-op, otherwise nothing else is required.