Ammonia will generally spike because you are introducing load of ammonia into a new tank at first. However, you may or may not see a spike in nitrite. The reason is that your nitrite breaking down bacteria colony slowly increases as more and more ammonia is slowly turned into nitrite. In another word, while adding a pure ammonia or prawn can all of sudden spike the ammonia, it takes time for this ammonia to slowly turn into nitrite, and as soon as little bit of nitrite is avaiable, the remaining colony also develops slowly. That's probably why you already see some nitrate.
What you want to do is to keep introducing ammonia in the tank and try to keep the level consistent. Once your tank has enough colony to fully breakdown the consistent presence of ammonia, you will probably see a little spike in nitrite.