Small drop of antifreeze every morning just under new water pump.

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I don't know what you are driving..but sometimes the leak that you see under the car starts in the front area and runs to the lowest point and drops off...try getting under the car or up on a lift..follow the tale tale signs of the water/antifreeze running olong the underneath of your car...my bet it your water pump is starting to go bad..they have a small weep hole at the bottom of its shaft..if the seal/bearing is wearing water will start to leak and run along the underside of the motor..good luck..

If the antifreeze is running out of the hole in the water pump housing, you need a new water pump.

Replace the thermostat.

You need to find the source of the leak. it hasn't overheated yet because you keep catching it and re-filling. From your description, it sounds a lot like a bad water pump seal (part of pump) but without physically looking you can't be sure of that. when the pump seal begins to fail, internal pressure while running often will drive the seal tighter against the shaft stopping the leak. as pressure drops as the engine cools, the seal relaxes and permits seepage.
With time, that will change and it will leak all the time.

is it acually getting hot or is it just the gauge on the dash saying so? a quality scan tool can show you what the coolant temp sensor is telling the pcm it may differ from the gauge.

you changed the water water pump because it probably overheated. you might have a broken head gasket and combustion pressure is entering the cooling system

Leaks are tough to pinpoint, as the cooling fan and road speed spread fluid all over the place. If u smell antifreeze in the car, the heater core may be bad (leaking). Do your windows fog up, and the defroster makes it worse? If so, the heater core needs to be replaced. As far as under the hood, get a small mirror at a parts store (they have an extending handle to get into tight spots), look under the water pump, at the center of the shaft. There is a small weep hole there, when the pump is shot, it will leak there, and u should be able to see evidence of it. Any other leaks (hoses or radiator) u can check by jacking up the car, put it on safety stands, block all wheels, go under the car w/ a rag (engine off) wipe up any drips, start car, watch for drips forming and dropping from hoses, etc.

Sounds like the water pump is going bad.

could quite possibly be the water pump. There is a weep hole under the shaft, when the bearings go, the antifreeze leaks out at that point. Try checking w/ motor off using a small mirror to get a look under the water pump. If u see corrosion, or it's wet, get a new pump installed. Let me know what u find. good luck countrycurt0