It sounds like thse are phishing attempts. Never give out any personal information, credit card details or click on any links in the emails.
http://www.apple.com/legal/more-resources/phishing/
Identifying fraudulent "phishing" email - Apple Support
You should report these to Apple when you get them.
If you receive what you believe to be a phishing email purporting to be from Apple, please send it to reportphishing@apple.com, a monitored email inbox, which does not generate individual email replies.
Forwarding the message with complete header information provides Apple with important information. To do this in OS X Mail, select the message and choose Forward As Attachment from the Message menu. For other email applications or webmail based services, consult your provider’s support information to determine how to forward messages with complete headers.