I have an overheating problem.I have changed the thermostat,checked anti-freeze for oil mix thinking maybe headgasket,no oil in anti-freeze,fan is working,can it be the water pump.Is there a way to check the water pump.Also i checked the hoses ,the lower hose is ok(when car is running hose is cool),the upper hose is worn a bit(it is very hot when car is running).

see if you have heat. If your water pump is not working it will not circulate hot water through the heater core. are you losing water?