My car overheated one day and found out it didnt have antifreeze. i put new antifreeze and changed the thermostat. now it shakes and eventually turns off when idling.

Sounds like you had a sticking thermostat when you replaced the waterpump causing an air pocket. Replace the thermostat, and jack the front of the car so that the radiator cap is highest part of the cooling system. Then run the car and burp the air out of the coolant system.

You have a head gasket problem with the engine generating abnormal pressure, and sending all the antifreeze to the reservoir, thereby leaving the engine running dry; it is dangerous for the water pump to operate with no water.
Drill 3 11/64 or 3/16" holes in the thermostat side facing the engine, making sure not to touch the opening mechanism; this will keep antifreeze always running thereby, compensating for the abnormal pressure regenated by head gasket leak(s).
Your thermostat was never your problem.
In cold weather, 5 degress celsius or under, the thermostat takes longer to open and more antifreeze will be sent to the reservoir leading to an overheating.. Partially cover the radiator with a sheet metal piece to make the thermostat open faster and stay open, as the antifreeze is not being cold that much by cold air. You're fooling the cooling system into warm weather driving.
Don't waste your money buying radiator stop leak or liquids to repair head gaskets; this will only corrode and make your radiator to eventually leak.

sound like a thermostat

YOU NEED A HAYNES REPAIR MANUAL.BUT YOU DRAIN OUT SOME COOLANT DOWN ENOUGH WHEN YOU TAKE THERMOSTAT HOUSING OFF TO GET TO THERMOSTAT.ANTIFREEZE WONT GO EVERY WHERE.TO GET STARTED YOU HAVE TO REMOVE RADIATOR SUPPORT COVER.AND THE AIR FILTER HOUSING.LOOSEN THE HOSE CLAMP.THEN DETACH THE HOSE FROM THERMOSTAT HOUSING.THEN REMOVE THERMOSTAT COVER MOUNTING BOLTS THEN REMOVE HOUSING.BE PREPARED FOR SOME COOLANT TO SPILL WHEN YOU REMOVE HOUSING AND BREAK THE SEAL.BE SURE TO REMOVE ALL TRACES OF OLD GASKET MATERIAL AND OR SEALANT FROM HOUSING COVER.THEN INSTALL THE NEW THEERMOSTAT IN THE HOUSING WITHOUT USING SEALANT.MAKE SURE SPRING END IS DIRECTED INTO THE HOUSING.APPLY CLEAN ANTIFREEZE TO THE NEW O - RING ON THERMOSTAT FOR LUBRICATION BEFORE INSTALLATION.PUT EVERYTHING BACK VISA VERSA.TORQUE THERMOSTAT HOUSING BOLTS TO 89 INCH POUNDS.PUT HOSES TIGHTEN HOSE CLAMP.FILL UP THE COOLANT SYSTEM CRANK CAR CHECK FOR LEAKS.

YOU COULD HAVE A DEFECTIVE WATER PUMP OR THERMOSTAT ALSO RADIATOR PRESSURE CAP.MAKE SURE YOUR WATER PUMP IS BEING TURNED BY DRIVE BELT.NOT SLIPPING.MAKE SURE COOLANT SYSTEM HAS BEEN BLED AND YOU HAVE HALF ANTIFREEZE HALF WATER.CHECK YOUR CRANKCASE WHEN CAR COOLS DOWN.IF OIL STILL LOOK LIKE MILK SHAKE.YOUR NEW HEAD GASKETS LEAKING.THE MECHANIC WHO REPLACED HEAD GASKET DIDNT DECK THE HEADS.THEY PROBABLY NEED SHAVED A LITTLE SO HEAD GASKET WILL SEAL.

bleed air out cooling system. put half antifreeze and half water .if you got too much water .it willl cause engine to over heat. antifreeze raise boiling point .220 degrees it wont boil away . water will evaporate 212 degrees.it will boil away .causing low coolant problems and over heating.

it sounds like a water pump not circulating antifreeze properly

the easiest thing to try would be the thermostat.
Are your fans coming on?

are you loosing antifreeze and then overheating
these cars had intake gasket problems and would leak antifreeze into the intake and some times into the oil.

Solved problem put a new radiator in. Thanks anyway.