Keeping nitrates low in the tank when you have nitrates in your tapwater can make it difficult to keep nitrates low enough in your tank, yes, but that isn't your main problem at the moment.
Right now, your tank isn't yet cycled, but it has fish in it. You need to do large daily water changes, and test the water daily. Anytime ammonia or nitrites are anything other than zero, do a 70% water change. You're likely going to need to do water changes daily for a while.
We can deal with higher nitrates later, since nitrates are less toxic to fish, but ammonia and nitrites will kill fish quickly if they're not kept at zero. Like, overnight quickly, so it's very important to keep on top of testing and water changes, not put anything off until the next day.
Don't feed your fish for a couple of days - they'll be fine for a few days without food, and more food in the tank means more fish waste and more ammonia, which your tank isn't able to handle right now. What kind of filter do you have on the tank? Do you have any live plants?