I think you need to learn some basics about water chemistry before you start keeping fish. Otherwise, you're going to become REALLY confused when you start reading all the misinformation there is out there regarding water quality.
Firstly, you didn't mention your pH reading. As long as your pH is 8.0 or less, your water is perfectly fine as is.
Secondly, there is only one reason to "age" water and that's to allow dissolved gases to escape. It has absolutely no effect on KH or GH. Unless you have very unusual water, or water that is chlorinated, there is no reason to "age" it.
If your water has nitrate in it, then the nitrite level might rise after aging, but the nitrate level would fall as a consequence. It's impossible for both to rise in the absence of fish. In any case, neither should be a concern once the nitrifying bacteria reach sufficient numbers.
One final recommendation: Patience. Don't try to rush things. Just let nature do its thing. Establishing a fully mature aquatic ecosystem requires more than simply "cycling" an aquarium.