Yes It is necessary to remove NPs in drinking water because they are cytotoxic in nature. I do not think that green synthesis will reduce the toxicity. It will remain in its form
Depends to what NPs you have in water and its toxicity. Anyway, You must reduce the NPs level to the standard level. To remove the NPs, you can apply different methods depending the NPs conc., coagulation, electrocoagulation, adsorption, NF membrane,...