Is there anything to detoxify our respiratory systems after we burned plastic cutlery container on top of wood stove?

Fresh air. Burning plastic can emit fumes that are noxious to the respiratory system. Some plastics, such as polyethylene (saran wrap, etc.), when burned emit formaldehyde fumes. In most situations, plenty of fresh air is all that is needed. If one has significant symptoms (persistent cough, shortness of breath), then one should seek medical attention with their doctor.