Can Apple verify this email?

It is a phishing attempt. Ignore it and delete it. Do not click on anything or pay attention to the message. Apple will never address you as Customer, they have your name from your Apple ID.

Apple would also use better grammar! They also never give you a link in an email to log into your account (they would just tell you to go into your account). It's always worth clicking on whatever is in the "From" field of these emails to see what the actual email address is - it's usually obvious whether it's legit or not.

Very true, but I would stop at the Customer thing and just delete.