ali bhai mashallah u have good car in nice condition
yes ur car surface require some cutting, polishing , waxing
paint correction is not a every day procedure so in my view u can done compounding from any paint shop once and than u can maintain its finish by regular waxing and occasionally polishing
if u do it your self than very simple and effective way would be
clay car
meguiar's ultimate compound (can do by hands but simple orbital polisher would make faster and easier outcomes )
meguiarss ultimate polish (can do by hands but simple orbital polisher would make faster and easier outcomes )
meguiar's ultimate wax (by hands )
trust me app ki car ki zindagi hee badal jaye gee after this process 
i think simple black and decker orbital polisher from metro rs5000
or u can ask ur any friend , relative coming from abroad specially usa to bring for u dual action polisher of porter cable or meguiar's 