Is a Nikkor 35-105mm AF 3.5-4.5 compatible with a Nikon D7000?

I just bought a Nikon D7000 new from the supplier and haven't yet purchased a lens. I'm generally new to photography and I'm wondering if the Nikkor 35-105mm AF will be compatible with it, or if it will only work in certain modes (i.e.auto or manual focus, etc). My friend is willing to give me hers. She has a D90.

I would also like opinions as to what would be a good lens to purchase. I'm personally leaning towards the Nikkor AF-S VR 70-300mm. I would also like a fisheye lens, but there seems to be so many options and I'm a little overwhelmed!

As for photography needs, I photograph just about anything (it's just a hobby). My son playing in the yard, sports, and portraits alike. So I would like a few different lenses to choose from.

The 35-105mm AF was discontinued about ten years ago. It should probably be compatible, and it may be very good. I don't know if it's worth spending much on. You are probably going to covet more wide angle, and you already have your eye on a good choice for telephoto. The money might be better applied towards an AF-S 16-85mm VR. It's pricey, but it is reputed to be very good. Other than compensating for lateral chromatic aberration, your 16MP D7000 will be merciless towards optical deficiencies.