The problem is most likely in the float bowl. The float could be bad. The likely cause is the needle valve that is control by the float is stuck, or dirt has gotten between the needle and needle seat. This is an easy fix. Carefully remove the float bowl. The float will be held in place by a pin. Remove the pin, and float. Check that there is no fuel in the float, and that it floats in gas, if not replace. The needle valve will come out with the float, as they are connected by a wire link. Make sure needle vale is clean, and able to move freely inside it's housing. Check the bottom of the housing at the needle seat to make sure it is clean of dirt. Reassemble, and you should be ready to go.
The carburetor needs rebuilding.
backfire timing off
There is a fuel pressure sensor on the back of the carburetor for the 1982 Corvette. Normally, there is no fuel shut off switch unless it is installed as an after market part. If the fuel will not shut off normally, replace the fuel pressure sensor behind the carburetor.
A carburetor regulates the flow of the air/gas mixture into the pistons of a gas engine. They aren't found on cars any longer but do still come into use for smaller gas engines.
Dirty or faulty needle and seat in carburetor.
More than likely this means your carburetor float has stuck at some point and let gas leak into the engine after it was shut off. To be safe you really need to replace the carburetor or have it cleaned.
To stop the free flow of gas from a 4-barrel Rochester carburetor into the manifold after the engine is shut off, you can adjust the float level to ensure it doesn't allow excess fuel to enter the carburetor. Additionally, check and clean the needle and seat assembly to ensure that they are sealing properly. Installing a fuel shutoff valve in the fuel line can also prevent fuel from reaching the carburetor when the engine is off.
Yes
Its probably the accelerator pump in your carburetor.
Radon gas leak
If you want to shut it down completely, turn off the cold water stop going into the hot water tank. If it is an electrical tank shut the breaker off to the HWT. If it is a gas HWT, shut off the gas valve as well.
It sounds like your carburetor is getting clogged.