Renting the body, have a Question

I am going to try out the D7000 to shoot some whales and landscapes. I have an AF-S Nikkor 70-300mm 1:4.5-5.6 G lens as well as an 18-55mm kit lens that came with my 3000. Will my 70-300mm auto focus? I did try to at least find the answer. I know its DX and I know the 7000 is compatible with both the AF and AF-S lenses but I am worried if I want it I won't have my auto focus and I am still a little scared without it. I am mostly concerned with the 70-300 but I would like to know if the AF-S 18-55mm will work as well in case I don't have the space to back up for my other lens.
Sorry for such a novice question and thanks a ton for any help.

the 70-300 will auto-focus on the D7000. Most all auto-focus lenses will auto-focus with the D7000 because it has the in-camera focusing motor so the lenses don't need their inside focusing motor (AF-S).

Good whale sightseeing!

Ty!!