I am a recovering alcoholic. Can my addiction contribute to cardiomyopathy?

Yes. There are a cardiomyopathies with direct association with various types of alcohol ingestion, some of which may not be directly related to the alcohol but some of the other ingredients of the drink.
Yes. Yes however etoh cardiomyopathies can be reversible when cause is eliminated in conjunction with medicines that help the heart heal. Other causes must also be excluded. See a cardiologist if not doing so already.
Yes. Alcohol is a known toxin to the heart and can lead to a weaker heart muscle and irregularities of the heart rhythm.