how can I contact apple care for lost phone

Here's what to do if your iPhone, iPad, or iPod touch is lost or stolen. Included in the linked info is to find your device serial number, and if your missing device is covered by AppleCare+ with Theft and Loss, how to file a claim for your lost or stolen iPhone.  (You can check AppleCare coverage parameters here and here.)

Good luck!

JDee

AppleCare and AppleCare+ do not cover loss or theft.

You have to specifically buy AppleCare+ with loss and theft coverage.