So, your tank is definitely on it's way to being cycled, as you have nitrites and nitrates, meaning both of those bacteria are present in your tank. Now you just need to wait a bit longer so that the colonies can build themselves up. You will know your tank is cycled when you have 0 ammonia or nitrites (or extremely close to there). You also made a great choice with your test kit! The API liquid test kits are very reliable! So, as the others said, keep testing and doing water changes as needed (safe levels are under .25 ammonia or 20 nitrates (technically, though you should really strive for 0 once your tank is cycled)). Watch for signs of stress (which you seem to be doing) and signs of ammonia burn/fin rot (reddening and loss of the edges of fins). Even after the tank seems cycled, continue testing often for a bit after in case of a "micro-cycle", where the parameters can go out of balance for a short time. Good luck!!! And congrats on a new tank!