1- If the particles of ayn e najis is not seen in tbe droplets then its not najis. If after washing water remains at the same place then yes but if its flowing then it would not be najis.
3- Rain can make pak the surface if there is no traces of Ayn e najis remained on the surface. But if a wet dog splashes and you get the droplets then your clothes will become najis. But we can not consider all the city or buildings najis by just this assumption that a wet dog has passes here and there.
3- If you are not 100% sure about anything that its najis then you can treat it as Pak.