The only good nitrite level really is 0 ppm, anything else can and will harm your fish. The extent of the harm is largely based on the level of nitrite, but even with tough fish harm is still done. the nitrate level being high is probably a result of the stress zyme. If it supposedly has bacteria in it, any that happen to still be alive when you add it, will die and become pollution. most of them will be dead before they leave the bottle, so they are already pollution when added. If stress zyme doesn't claim to have bacteria in it, then I don't know what would raise the Nitrate, but let us know everything you have added to the tank, and someone here will figure it out.
Either way nitrate can be removed via water changes, and low levels of nitrate won't harm you fish. Most of us reccomend nitrate below 20ppm, some folks allow them as high as 40ppm.
dave