For Ladakh would suggest a 16-85 and a 70-300. This two lens kit will get you most of the way there. If you are really interested in portraits suggest the 85 1.8G. Also suggest a SB-700 flash and a good camera bag with a rain coat.
The 16-85 is my walk around on my D7100, both it and the 85 1.8G produce fabulous results.
Believe you will enjoy the D7100 its an outstanding camera. Enjoy your trip.
Excellence is an art won by training and habituation. We do not act rightly because we have virtue or excellence, but we rather have those because we have acted rightly. We are what we repeatedly do. Excellence, then, is not an act but a habit. - Nicomachean Ethics