How do I find a stolen phone?
How do I know if my apple care is on my phone and its stolen
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See this for a lost or stolen iPhone. If your iPhone, iPad, or iPod touch is lost or stolen - Apple Support
As far as your AppleCare, you would only know if you take your serial number and enter it here, Check Your Service and Support Coverage - Apple Support If you are having difficulty finding your serial number because you don't have the phone, see this, Find the serial number of your Apple product - Apple Support