Apple care

Yes, but if the old plan hasn't expired you can get a refund for "not used" protection.

Contact Apple Support directly about that, using this link:--> https://getsupport.apple.com/?caller=kbase&PGF=PGF66001&category_id=SC0299&symptom_id=23334, provided in this support article:--> Cancel or change the payment method for your AppleCare plan - Apple Support

Regards

Giulio

Yes. Apple Care is tied to the specific device it was purchased for, and is not transferrable to another device.

You must purchase Apple care for each device you want to have it.