zenflyer,
in the initial medical stage, they will just check you far vision, color vision depth perseption, height, weight, body frame and complection. the final medical is a whole new ballgame, they will check you from head to toe in diff hospitals in the metro.
your BMI/body frame will be checked on your initial medical, i was 20lbs overweight when i had mine checked. Dr. Gil told me to lose weight fast b4 my final medical, i hope you get the idea. i dont think the psychometric testing will be a problem for you, almost all questions are basic, quick and positive thinking is all you will need.