Is the nikorF AF 35 to 105mm Lens compatible to Nikon D7000? How about tamron 70 to 210mm with 52 adaptor?

The Nikkor lens is fully compatible. The Tamron is dependent on the mounting. Tamron makes lenses for a variety of cameras. A lens with a Canon mount, for example, will not fit onto a Nikon camera. If the lens has a Nikon mount, there should be no problem using it with the D7000.

Remember that the D7000's sensor is smaller than a frame of 35mm film. This will cause the lenses to produce a field of view that is smaller than on a 35mm camera. The 35-105mm, for example, will give a field of view similar to what a 53-160mm would produce on a film camera.