If your on public water, definitely contact your water supplier/municipality or check online for water reports. In the US, the max allowable nitrites is 1ppm & nitrates 10ppm. There is no criteria for ammonia especially because its usually used as a disinfectant (chloramine). You can also call the EPA's safe drinking water hotline for help (800-426-4791). If you have an infant or someone who is immune-compromised, they really should not be drinking this water based on your test results.
Prime will definitely help for water changes in the future as well as smaller, more frequent water changes vs one big water change. If your budget allows, you can invest in an undersink RO unit ($150-300) for water changes & add back minerals with a product such as Replenish or RO Right. Good luck!