look to see were the green stuff is coming from lol check the hoses and the pump itself and don't forget to check the heater hoses and core
100% correct. All a mechanic would do is look for the wet spot or the place that has dried crusty antifreeze. Plan on climbing underneath and getting a little dirty. If it's leaking at the radiator don't just put in a can of radiator stop-leak. That stuff will just cause you problems in the long run. If the radiator leaks, take it out and have a reputable radiator repair shop look at it. If you have green/brown streaks from the water pump it will HAVE to be replaced.