Coolant leaks after traveling maybe 29 miles or so. It will start running hot &

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The 'low coolant' light comes on. When I get home and check the radiator it is almost empty. Also, there is an Oily liquid leaking underneath on the driver side. But the oil looks fine. There is also a leak of some sort underneather the passenger side right about where there radiator is located. Although, while the car is sitting on the street not being driven anywhere or turned on, the radiator stays about the same as if there has been nothing leaking while the car is parked. What is wrong with my car? I'm so frustrated with it.