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After code reset or battery disconnect. You must start and drive the vehicle 5 times and the issue occur for a code to store. If its a hard code it will set often within 15 minutes of running or if the issues effects emissions. You are correct, the steps you did, did cause all those codes.
Since your getting mainly misfire codes and the vehicle is new to you. Can you first off check the plugs and wires and replace them if needed.
Next will be checking the fuel pressure, trying injector cleaner and monitoring the crank and cam sensor readings.
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A test on all cylinders dry and wet would be a good idea so you know more about the inside of the engine, but at the least on the effected cylinder and the one next to it.