I will also recommend the 70-200mm f/2.8 or f/4 for your sporting needs. However, I will recommend concidering an ultra wide angle for landscapes. I currently don't have one but am planning on either the 16-35vr or the 14-24 being as I'm using FX. Many good ultra wides are made for DX though, so you can look into those and get recommendations from those that have them. Tokina makes a 11-16 which is known to be good. And Sigma makes a 10-20 that is also known to be good. Also the Nikon's are known to be good also.
I feel the 18-105 kit lens is a good lens. Yes the 16-85 is a little better built and may give slightly better IQ if looking for it, but I felt the 18-105 was a good mid-zoom to have when I had my D7K. This was taken on that combo:
WB changed for colors. But came out well. Only reason to upgrade your mid-zoom is for faster glass, for a f/2.8 zoom, which would offer less zoom range. Something to also think about.