I am finding oil in the radiator. - 1995 Saturn Sc

If you find your oil filter, you fill find the oil cooler. It is the little box that the oil filter screws into. You will see two coolant hoses going to it as well.

replace the radiator as the oil ( should be a pink color) is from a failed oil cooler in one of the radiator tanks that cools the oil from the transmission

Rent or borrow a coolant pressure tool. Hooks up to the radiator, pumps a little air in the system, should find the leak that way. Look underneath the overflow tank. Tend to find cracks there.

If it is an automatic transmission it will have an oil cooler in one of the radiator tanks. The fix is a new radiator unless you can find a radiator shop that is prepared to remove the tank and fit a new cooler core.

The tanks are plastic and if the hose fitting broke out then the fix is a new radiator. As in radiator coolers are prone to failure before you invest in a new radiator , consider buying an air to air oil cooler to cool the transmission oil . The oil will run at ambient temp and not at 95 degrees c or hotter and the radiator is not having the load of trying to cool really hot oil. Talk with an auto transmission shop to get some details and I think that you will find the oil cooler cheaper than a new radiator.

If you are finding engine oil in the radiator likely cause is a blown head gasket, cracked cylinder head or porous block. If oil is red in color, likely the transmission cooler is leaking (located inside the radiator) Generally if it's an engine problem you will find water in the oil or oil will appear milky (like coffee)

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1. Drain the coolant.
2. Disable the SIR.
3. Move the forwarding discriminating sensor out of the way.
4. Remove the air cleaner assembly.
5. Remove the cooling fans.
6. Disconnect the radiator inlet hose from the radiator.
1. Disconnect the radiator outlet hose from the radiator.
2. Disconnect the engine oil cooler lines from the right radiator end tank.
3. Disconnect the transmission oil cooler lines from the left radiator end tank.
4. Remove the left and the right engine torque struts.
1. Remove the upper radiator support screws.
2. Remove the radiator from the vehicle. Lift the radiator up and out. INSTALLATION PROCEDURE
1. Install the radiator to the vehicle.
2. Install the upper radiator support screws. Tighten the bolts to 6 Nm (53 inch lbs.). NOTICE: Refer to Fastener Notice in Service Precautions.
3. Install the transmission oil cooler lines to the radiator. Tighten the transmission oil cooler line fittings to 27 Nm (20 ft. lbs.).
4. Connect the engine oil cooler lines to the radiator. Tighten the engine oil cooler lines to 18 Nm (13 ft. lbs.).
5. Install the left and the right engine support torque struts.Connect the radiator outlet hose to the radiator.
1. Connect the radiator inlet hose to the radiator.
2. Install the cooling fans.
3. Install the air cleaner assembly.
4. Install the forward discriminating sensor.
5. Enable the SIR.
6. Refill the coolant.
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I'm not possitive but there is usually a vent tube on top of the transmission, may be possible that dirt or something is clogging it up. That would cause the tranny to build up pressure. But to blow the seal on a new radiator, I wouldn't imagine that. My opinion would be that the new radiator wasn't put together correctly. But just in case the vent tube did cause it to let go, check the vent. I hope that you find the problem. Best wishes.

oil in a radiator indicates that the transmission oil cooler in the radiator tank has failed and leaking transmission oil into the radiator
there are 2 possible fixes
fix one is a new radiator
fix 2 is to give the radiator oil cooler a miss altogether and opt foe an air cooler mounted in front of the radiator
the advantages here are that the radiator then has a bigger capacity to handle the engine heat as there is no hot transmission oil adding to the engine heat
the second advantage is that the transmission oil is being cooled to ambient temp and not engine temp which makes for longer transmission oil life
the disadvantage is that it cost a bit more than a radiator initially but the long term savings are real
oil to air oil coolers are available from auto transmission shops and quality auto spares shops

The oil leak at bottom of radiator could be oil cooler and/or supply hose. Try check closely for wettest area .
The other leak could be thermostat cover, it only uses a sealing ring and is prone to leaking after time.