Nike Basic Cortez Leather legit check

[se.evidente]

I bought this Cortez 30% off on Zalora. I just wanted to ask if my Nike Cortez Basic is legit judging from the Nike and Swoosh logo at the back instead of the usual "NIKE" text in its place.

P.S. One Nike + Swoosh logo at the back is bigger than the other? Or is it just me?