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I wouldn't expect too much in the way of toxicity signs here. It would take a lot of Nyquil to get into a liver toxicity range. The shoe polish is going to just cause some GI upset- vomiting/ diarrhea.
Most of these dogs will resolve on their own without any specific therapy. I would give him 4-6 hours with no food or water to try to stop the vomiting. After that, you can give small amounts of water every 2-4 hours. Once he goes 8-12 hours without vomiting, you can start offering food.
His signs should resolve fully over 12-24 hours.
I hope this helps, let me know if you have any other questions.