Sorry for the late reply. zero ammonia, nitrite and nitrate is not good. All zeros mean you plants are consuming all the nitrogen in the water So theirmaight not be enough to satisfy the plants. And if nitrogen is insufficient plant will not consume any other nutrients which could build up to toxic levels. I would recommend you always have a small amount of measurable nitrate in the water.
After I first setup my tank I had no plant growth. I din't understand it. I saw a phosphate test kit at the store and bought it hopping it would provide a clue. when i ran the test it was offf scale high (over 30ppm). I eventually figured out is was nitrogen and added nitrogen to the tank. Phosphate then started to drop and my plants started to grow.