You certainly have some chance, and your profile looks good. But all applicants have good looking profiles. You probably should expand that list with a lot of schools in the top 20-40 range. Also look at other good programs in the UK (UCL, Oxford, Cambridge) and continental Europe (Pompue Fabra, Bonn, Mannheim, PSE, TSE, EUI, Tilburg).
Don't retake the GRE.
PS. Don't put 'Talented in STATA' on your application.