first of all if you NO3 is at 0 you arn't cycled yet. You need to have readings of ammonia 0, nitrite 0, and nitrate +0-20 in order to be "cycled" how long has the tank been up and running, and do you have fish in there? If not do you have an ammonia source.
As far as the green water goes. How long are you leaving the lights on. Being that its a new tank with green water, I would assume that the lights are being left on too long. There are no plants in there to uptake the nutrients, thus algea is thriving. You are going to need to starve the algea of the nutrients, including lights, until it dies. Also, check your phosphates both in your tank and in your tap water. If you have excess phosphates in your tap water, and you don't plan on going with a live planted tank, you may need to switch to RO water. This isn't going to be an easy task with the size of the tank.
Let us know what you find out about phosphates and the lighting conditions and maybe we can assist you further.
-Jake