First, the D7100 is a superb camera (I've owned one since practically its release date). I feel its only significant flaw is the small buffer for high speed action shots, but this will not be a problem for what you intend to do. If you plan on shooting landscapes, family and friends for a while, then go on a vacation and do some travel photography, why not just start with the 16-85 mm? Birding will require a longer lens, some additional accessories and a more advanced shooting technic, so why not familiarize yourself with the camera before spending extra money. If you wish to do low light work, the 35 mm f/1.8DX would be ideal for you at this time, IMO.
But the camera is a great choice and one that can produce superb images.
Sometimes I think the world is a tuxedo... and I'm a pair of brown shoes.