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If you have a Discover credit card you can change your address, phone number, and email online, as well as your user ID, password and bank information. To update you should log into the Account Center and then click on "Account Profile." Once you are in your personal profile, click on the link that says "Update Your Personal Information." They can also change your address by phone. You can also address this issue with one of credit bureaus. Go to annualcreditreport.com, there you can dispute and change things once you are on each of the credit bureaus' websites.
Statements are usually issued at the end of each monthly billing cycle. Call the credit card issuer and ask them when your cycle closes and what date your statement is mailed out each month.