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the answer is no . the converter would not affect just one cylinder .
P0303, number 3 cylinder is miss-firing. You could drive it but depending on the reason why it is miss-firing, it may damage the catalytic converter.
Misfire on cylinder 3. Get it fixed asap so you don't mess up your catalytic converter.
Replace the catalytic converterReplace the catalytic converter
I believe 0421 is a catalytic converter inefficiency code which is usually caused by a bad o2 sensor or a bad catalytic converter, but I have also seen fouled plugs and exhaust leaks cause this code.
Replace the catalytic converter.Replace the catalytic converter.
Catalytic converter failure.Catalytic converter failure.
No, that code is for the evaporative emissions control system in the fuel tank. It has nothing to do with the catalytic converter.
Code P0136 is the code set for your O2 Sensor that is located after your Catalytic Converter.
Nothing
Catalytic converter failure. Replace the catalytic converter.
A failed oxygen sensor could possibly cause a catalytic converter fault code.