It has nothing to do with the OP's situation. Any Applecare customer, at anytime during the Applecare period, for any reason, can request a pro-rated refund for the remaining time.
From the Applecare terms and conditions :
5. Cancellation
You may cancel this Plan at any time for any reason. If you decide to cancel either call Apple at the telephone number below, or send or fax written notice with your Plan Agreement Number to AppleCare Administration, P.O. Box 149125, Austin, TX 78714-9125, U.S. (fax number 512- 6748125). A copy of the Planʼs original proof of purchase must accompany your notice. Unless local law provides otherwise, if you cancel within thirty (30) days of your Planʼs purchase, or receipt of these Terms and Conditions, whichever occurs later, you will receive a full refund less the value of any service provided under the Plan. If you cancel more than thirty (30) days after your receipt of this Plan, you will receive a pro rata refund of the original purchase price, based on the percentage of unexpired Coverage Period, less (a) a cancellation fee of twenty-five ($25 USD) dollars or ten
percent (10%) of the pro-rata amount, whichever is less, and (b) the value of any service provided to you under the Plan. Unless applicable local law provides otherwise, Apple may cancel this Plan if service parts for the Covered Equipment become unavailable, upon thirty (30) daysʼ prior written notice. If Apple cancels this Plan, you will receive a pro-rata refund for the Planʼs unexpired term.
OP - just call Applecare and get your pro-rated refund. YOU ARE NOT OUT ANY MONEY for the applecare.
I was just going to post this up. It helps if you guys actually READ what you are buying. Just cancel it and get your money back....