2001 Ford Taurus I think there is a fault in my cooling sys

I own a 2001 Ford Taurus, a few weeks ago I had the engine coolant hose replaced that had a blow leak in it. It cost me 140 dollars to replace at the dealers. Now the engiine seems like it might have another problem in the cooling system, because when I was out running arrons with my taurus, the engine heat seemed hotter than normal? And I noticed fluid under my car, the color is either transparent or reddish? I think its engine coolant again but no ''check engine '' light or ''low coolant'' or anything signifying a over heated engine temp. I think it might be a faulty ECT sensor, I am also thinking about checking the water pump sense it hasnt been replaced yet that I know of. My question about that is - Where is the water pulley and water pump located? And the ECT sensor? I heard that the ECT sensor is somewhere on the intake manifold. Im just worried about my car and the seriousness of the damage it might have underneath, ya know. Thx!