Water pump leeks from holes.does that mean the fan in it isn't turning

You may have a bad relay on the fan switch or the temp sensor is bad. Not reading the temp. Fan is activated by temperature reaching a set level. It is also set up to turn on when you turn on the AC or defrost.
If the fan is working for AC, then you have a bad senser or reley

I would advise you ask local mechanic about this in case the water pump is driven by the timing belt ? Sorry iam a europeon mechanic with no practical knowledge of this make of vehicle

It is possible the water pump is going bad. They have a wheep hole that slowly leeks when they start to fail. Or are you sure it is not condensation from the air conditioner running.

You didn't mention the model of your car. Regardless of what model it is, if you have a mechanical fan, you need to remove it. You will need to buy or make a tool that is a flat strap of metal with holes drilled in it spaced to fit over the heads of the 10 mm bolts that hold the fan pulley on. The tool holds the fan pulley from turning while you loosen the fan. The fan unscrews with left handed threads.
The plastic shroud around the fan comes out together with the fan. On some cars, the water reservoir is attached such that it is easier to pull the whole radiator out with the shroud.
The water pump fits pretty snugly in its hole. There may be a threaded hole in the pump cover that is 'blind. That is, when you screw a bolt in the hole, it pushes against the engine block to pull the pump out of its hole.
While you are replacing the water pump, you will want to replace the thermostat as well as preventative maintenance.
That is about all I can tell you without knowing what model car you have.

I am going to assume that you have taken off the belt and are sure that exact pully is the one that is froze. So in that case yes there is a VERY strong possibilty that the water pump is bad. I have seen many water pumps freeze up and not leek. It's not real common but it does happen most of them leak. Once you remove it and try to free spin it you will be sure but I say since the belt is off and it's froze, your chances are almost 100% that the pump is bad. I hope this helps and good luck.

check the gasket first u may get lucky if not bearing or seal going or gone

its a leak at the head entry hole. junk the car and take a loss. its useless

The water pump is usually located at the front of the vehicle and is driven by a belt. Most water pumps have a "weep hole" on them. This is a small hole on the casing of the water pump. If you see any liquid coming out of the weep hole, then the water pump is bad and will need to be replaced. I assume that you have already checked and replaced the thermostat if needed.

the water pump is behing a metal plate that you you would have to take off in order to look at it. if you have the 3.5 motor and are losing water then thats where it wil most likely be coming from,

I've had similar problems and had to have the water pump replaced.