[KingFatty]

You can physically grip the hoses that carry the coolant to and from the radiator, and see if they stiffen up or get warm when your engine gets up to operating temperature. I'd say do that first.

Make sure the radiator system is actually working.

So does your car overheat when you let the engine run long enough? If the water pump is bad, then your car would overheat if you let it run and build up heat. The coolant would start to boil and you'd see the billowy steam coming out.

 

[KingFatty]

One of the hoses will get hot, the other will remain cold.

That's impossible if your thermostat is working. Are you sure you are letting the engine reach full operating temperature to where the thermostat opens so hot coolant can flow through both tubes?

Your thermostat is NOT opening if the other hose remains cold but the engine is at operating temperature.

Can you do this test: after driving around to where the engine is fully warmed up, park and let the car idle with the engine running. Do both coolant hoses get warm/hot then, or does one stay cold?