Yes, Big Daddy’s costume was indeed inspired by Miami Vice.
Vanity Fair recently published an extremely interesting article about Django Unchained costume designer Sharen Davis. The article includes a slideshow full of Django Unchained costume sketches and inspirations. I highly recommend checking it out.
I’d also like to note that I’ve added a new Behind the Scenes section to the website. This is where I’ll be posting behind the scenes and other production-related pictures from Django Unchained. I included the rest of Sharen Davis’ sketches on this page.