Car is overheating. Radiator looks to be leaking. Too much oil may have been added. Drove it for four blocks and it shut off. Won't start now.

A NEW RECORD FOR LONGEST 1ST POST.
2004 Camry XLE 4 cylinder 207 thousand miles
guess at 2.4L engine. but there are 3 engines offered.
2AZ-FE ENGINE SURE.
THAT OVERHEATS,
LET ME CONDENSE YOUR POST.
1: NEW LEAKING CAB HEATER CORE.
And sure after it stinks how can it not 50%AF toxic fluid in the passengers foot well carpets. gee get them steam cleaned by pro's (removed and pro cleaned)(

2 :now the coolant is leaking and spraying in the engine bay well that is normal on all cars this old (not serviced, abused)
all hoses bad and 19 years old cracked and leak what's new there, zero..nada.

or water pump leaks
or radiator leaks, sure, 19 years old sure it can.
nothing new there.
what will be ,will be. there is no magic to car repair
--------------------- NOW COMMENTARY BLIND------------
best guess:
he used bar's leaks to stop tiny leaks. that is all it does
it never ever fixed cracked hoses ,bad water pumps nor fixes radiator leaks. or bad head gaskets or warped heads.

if he was a pro he;d have told you the car needs major service, and parts but when told by him, the wallet was dry
outcomes snake oil BAR's leaks.
fix it right or patch it and pray. <<<< your CALL !

BAR'S: (MAKERS REAL NAME)
it can help some times in pinch 1000 miles from home
it's a band-Aid to a broken leg. ( not magic, it is a desperate act)<, NO BLAME ME IT IS YOUR CAR.

old cars are all like this they have vast problems and most ive seen 10 problems ignored by the owner.past and present. (all) they add up, and then the camels back is broken with 1 more gain if straw.!
machines need service, if not they fail or fail hard.

if the engine is allowed to overheat too badly the engine is wrecked, ever price out cracked heads and engine blocks.
some cars heater cores are $2000 fix, dash out 12hours labor.+parts.
seems to me you got a SUPER DEAL there.
MY GUESS JUST HEATER COR HOSES BAD
AND ARE THE HOTTEST HOSES AND WHY.

Each leak must be found and if hoses crack they are all bad, for sure if 19 years old.
the RAD tank ends can crack TOO.
and the pump fail and the path of the whole coolant loop can fail and crack a real pro finds them all.
even intake manifolds can leak or thermostat housing can crack, SEE????????
TOYOTA Camry 04
lot to fail on any cooling system
even rad fans.
WE CHECK AND CURE ALL LEAKS FIRST
UNDER FULL HOT ENGINE PRESSURE,NEAR 15PSI
FOR LEAKS, PARKED HOOD UP EVEN RUN FOR 30 MINUTES TO FIND THEM ALL
CAREFUL AND COMPLETE OBSERVATION,
FOR SURE DRIPS OR TRICKY SQUIRTING OF 50%AF COOLANT.
NO 19YEAR OLD THERMOSTAT IS GOOD
AND IF BAD AND CAUSES OVERHEATING THE SIDE TANK NEXT TO RAD EXPLODES IN STEAM AND IS SUPER BAD FOR ANY ENGINE (JUST BEGGING TO WARP THE HEAD)
AND A NEW SERP BELT TO THE PUMP IS BEST.
THIS OLD.

Yep. Be sure to get air out of system too.

Sounds like its either a cracked engine block or a blown head gasket or cracked cylinder head.

they either need to be cleaned or u might need new plug wires

I don't see how leaking transmission fluid would be connected to the engine overheating, unless the radiator blew up.
You'll need to figure out why it won't start to proceed.
Check for spark and fuel pressure, and of course compression.
Is the check engine light on ?

most likely a bad head from driving it 10 miles with no engine cooling
being a saturn it could also be a crack in the block, i would get it to a shop for diagnostics
it is best that the engine is not started or run until repairs are made to prevent further damage

white smoke usually means blown head gaskets,have radiator fan checked,water pump,check coolant for oil in coolant,could be blown in between cylinders,causing coolant to go out exhaust,have compression check done on cylinders.

adding antifreeze on its own can be bad for your motor.. it needs to be added with water.. does it leak from your radiator cap/ overflow hose or from the radiator core.. ckeck you thermostat as well. it stays closed when the water is cold and opens when it gets hot.. it sounds like it could be stuck shut..

Why did you replace your radiator?
I ask this because I assume the car was overheating or overheated after the radiator swap. If this is the case then how long was it driven while over heating?
Driving in an overheated condition even for a few minutes is enough to warp the aluminum head, (just ask my mother, not once but twice).
First thing I would check is the oil. If the oil appears milky it means that coolant\water if flowing between the oil ports and coolant ports in the head. Also was the color of the smoke white and did it have a sweet odor. If yes to either then the coolant\water is flowing from the coolant ports into the combustion chamber. You would aslo notice a loss of coolant\water with no apparent source.
It sounds like you have a blow head gasket and you can be sure that it also warped the head. A compression test would confirm this.
I really wish I could give you a better explanation for this.

Hi
Check for plugged exhaust system. If plugged will cause overheating and misfiring of all cylinders.