Yes, both of those lenses are fixed focal length lenses (also known as 'prime lenses'), one at 35mm and one at 50mm equivalent field of view. So, you can't zoom with them, you can 'zoom' with your legs though. Difference between the two lenses is in focal length.

There's no such thing as which lens is better suited for which body (apart from the Nikon D3/5xxx case where you can't AF with lenses without in-built motor). It depends more on what purpose you want the lens to work as. Do you need a wider or a narrower view? Go to the stores to test it out. Borrow the camera from a friend who has it and test it out if possible.

If you are really unsure of which to get and worry that you might get the wrong one, then just stick with the kitlens that comes with the camera for the mean time while you improve on your camera knowledge before investing in a prime lens.