Indoors, a 70-300mm lens will be a regal PITA. It is far too long a lens for anything except tight portraits when being used inside a normal-sized room; 70x 1.5 is the short end...that's a tight 105mm equivalent medium telephoto angle of view...with a slow f/4.5 aperture....again, close to useless indoors except when lighting the shots with flash.
The 35mm f/1.8 will function as a "normal lens", with no wide-angle feeling and no telephoto-like feeling to the images, and that will work for many shots, but you will have no way to shoot wide angles of view indoors. The lens is a fast-aperture lens, f/1.8, and so it will collect plenty of light, which will help the autofocusing system work well.
A 50mm f/1.8 AF-S G would be the most-economical Nikon-made 50mm lens, which would act as a short telephoto lens.
My suggestion would be, again, the 17mm to 50mm Sigma zoom lens, so you have a wide-angle option, a normal option, and a short telephoto lens option--all within ONE, single lens that has in-lens stabilization, and a constant f/2.8 maximum aperture, and in an affordable (but not cheap by any means) lens.
Personal opinion: you want a zoom lens; primes are way over-rated, unless they are on a full-frame camera, or on a system which they were actually designed for (Fuji X, m4/3).
Check this on-line web calculator out, as far as camera type, lens length, and how far away you need to be to shoot five types of photos, from close-up of the face to full-length shots.
Depth of Field, Angle and Field of View, and Equivalent Lens Calculator - Points in Focus Photography