What possible problems am I facing if my coolant is constantly leaking?

I have multiple opinions from different people, I can tell you the coolant seem to be leaking near the water pump on the lower right side of the engine. I have been putting coolant in constantly just to my luck is gone in a matter of days resulting in my car to over heat. In recent days it look like the coolant or brown looking substance is leaking on top of the engine (somehow) soaking the alternator and lightly flying up on the wind shield. Im told it could be my gaskets leaking or my water pump showing signs of going out, What do u think?