Have you read up on the nitrate cycle of the aquarium? That's a good thing to research.
The high nitrites are to be expected, although they are toxic, so you should be doing water changes to keep them below .5ppm.
The high pH (alkaline) is a whole 'nother thing. That is either a reflection of your tap water or that there is something in your tank raising the pH.
It would be very helpful to test your water parameters right out of the tap, so you know what has to do with cycling, and what you're adding to the tank.