Car is leaking antifreeze and over heating even though there is antifreeze in the reservoir and is smoking after I turn car off. I bought a bottle of stop leak for radiator's and even added that and it still continues to leak. A friend of mine says it could be a water pump. I dont understand how that could be if it is leaking antifreeze. Pleae advice

Is the oil level ok? is the coolant ok in strength and not leaking?

Check to see if you have lost antifreeze. If the coolant reservoir tank is low or empty, check the radiator, but wait till the car has cooled down before opening the radiator cap. Low coolant level is sometimes the cause of poor heater performance, but your car may have a leaking heater core or hose. Feel the hoses for any wetness-they are behind the engine and enter the firewall behind the engine. The coolant may have got on the hot exhaust pipes and caused the smoke. But you will have to check for that or for what caused the smoking, when the heater was turned on. First check the coolant level and add a pre-mixed 50/50 solution of antifreeze and water if needed.

Stop me if this has NOTHING to do with your problem (or if it's already been solved)...I don't know a lot about cars so...My Ford Taurus kept overflowing antifreeze from the reservoir cap. Car started to over heat and kept spilling"/dumping" antifreeze every time I turned the car off. The antifreeze reservoir had been replaced less than a year prior, and water pump, radiator, etc looked at. I got a free estimate that stated my water pump was NOT the issue, but I did need a new radiator and my reservoir tank needed to be replaced (again)....$800 parts and labor.... However...I noticed the overflow holes on the tank, and also that the orange liquid (antifreeze), was also spilled around the cap lid. I also noticed the CAP on the antifreeze reservoir would loosen when tightened completely- hence, not sealing correctly. So I went to the dealer, bought a new reservoir cap for $15, replaced it, and never had an issue after! I also found out that the CAP was a DEALER PART ONLY, and when the tank itself was replaced, the CAP was the OLD one! Problem fixed! Maybe it's similar? Or something "more serious".

possiblie a spilt hose check all hoses also check radiator 4 damage also check radiator reserve bottle dont forget the heater hoses or by passhoses on the motor

The "smoke" you saw was your coolant. The vehicle uses engine coolant piped into the cabin of the car and through a little radiator under the dash for the heater. The blower in your car forces air over this radiator and this heated air is what you feel at the vents.
If you're lucky then one of the hoses has sprung a leak. This is a relatively uncomplicated cheap fix. The other thing that could have happened is that the cabinheater radiator has sprung a leak. If the leak is serious then the heater radiator will need to come out for repair or replacement.
You could try running some radiator stop leak(I've used Wynn's before) through the system and see if it helps. If the leak is on the radiator it might just work. On the pipes it will not be successful. Buy a bottle at your local spare shop/Autozone. Put it in the cooling system(do not open a cooling system with the vehicle hot!) and let the vehicle idle for a while. (Read instructions on the bottle) If it does not work, have the heater radiator removed and repaired.

air in the coolant
clogged radiator
collasped hose
loose belt to water pump

The smoke you could be seeing may be steam, your heater inside the vehicle may have a leak and causing steam to rise out of the vents, if you are smelling the steam this is what I suspect.
Engine vibration could be a number of things, check the engine mounts to start, one of them is probably broken.

a stuck closed thermostat may have caused the engine to super heat on shut down, the radiator fluid came from the surge tank as it boiled over..

First things first don't use Dexcool.

It would happen only once in a while likely because the overflow bottle doesn't always fill to the point of where the leak is located. It would be very easy to unbolt the bottle and fill it with water to find the leak and patch it up.