If the small fat pockets at the corners of my eyes are removed, will the under eye area looks smoother and better? (photo)

Hello and thanks for the question.  It does appear to me that you have some residual excess fat pads.  This does happen on occasion and can be corrected with a revision surgery.  I would recommend waiting a bit longer to treat this problem.  I would not recommend fillers in this area.  

When doing a lower eyelid blepharoplasty, the orbital fat is either trimmed or repositioned.  When done transconjunctivally the temporal fat pad can be hard to get to.  So sometimes this pad will be under-resected and you will end up with the appearance you have with a prolapsed fat pad.  This can be removed with transconjunctivally or via a skin approach.  Usually best to wait until 6 months post-op but you are almost at that point now.   

Thank you for your pictures. Unfortunately, you have had under resection of your lateral fat pads. These fat pads need to be treated aggressively to produce a nice contour. You will need repeat removal of this fat pad.