96' ford taurus radiator leaking overheating belt came off oil leaking

Umm...

Overheating is either a sign of a thermostat/radiator fault, a coolant leak or a leaking cylinder head gasket.

Smoking is either due to overfilling with oil, worn valve seals or worn piston rings/worn engine.

If the trouble started when you topped up with oil, drain the oil system and try a different oil.

ok check these things #1 check for leaks at the radiator #2 water pump for leaks#3 check for freeze plug leak#4 check to see if your cooling fan works#5 check to make sure the water jug is not leaking#6 fill the radiator with water then start your engine and try to see if you can tell if the water flows,if its not flowing check the thermostat,now you can check the thermostat by putting it down in some boiling hot water if while in the hot water it contracts its ok but i would replace it because it is work to go back to do so,check your radiator cap also,now if the fans are the problem then you should change the coolant temp sensor for the fans ,now i hope after making these check you will be able to solve the problem

Do the cooling fans work ?

I would check to make sure that the cooling fans are capable of running. The fan's won't come on unless either the a/c is on [provided the a/c works of course] or the engine temperature has reached about 218 degrees. A quick fan test is to allow the car to idle in the driveway with both the a/c and defrost "off" and with transmission in Park. As it warms up the cooling fans should come on once the temp gauge is about 3/4 of the way up [give or take a little] If the fan's won't come on at this point then odds are you've got either a bad fan[s], blown fuse, or bad control relay. As for potential damage caused from the overheating: the most common problem I see is head gasket leaks that allow some of the combustion gasses to get into the cooling system which disrupts the coolant flow and causes it to overheat again from this new problem. A common symptom of a head gasket leak is an engine that will suddenly run hot [but the heater stops blowing hot air when this is happening] then the engine will again run cool nearly as quickly for a while before repeating the cycle. If the leak is big enough it will often force coolant out of the reserve tank when this is happening. If it's been driven for some time and hasn't overheated she may have gotten lucky and avoided any damage. Hope this helps a bit!

the drain plug will have seals on it, just replace the drain plug. any parts store will have a drain plug/seal

A few reasons why ...Belt is slipping or broke... bad thermostat....faulty water pump ......low coolant or water... hose leaking... radiator clogged.. fan not working. Just a few to get you looking.

OHV engine. I have seen these wear the blades off the waterpump. Does the heat work.

it could be water pump, radiator fan, check system for leaks, or you might need a new radiator

thanks

did you run a compression check? if so and its good then you have a blockage in the water jacket
if not then you have a head gasket leaking

have the heads checked