Even if you had AppleCare it would not be covered if it was considered to be "cosmetic damage".
Click on this link to take you to the page about Apple warranties, then select your device and country --> Legal - Hardware Warranties - Apple
If you really wish to pursue this further:
Click here --> Mac Repair and Service - Apple Support
Enter the information in the Get Estimate window.
or:
Go to this page to find your nearest Apple Authorized Service Provider (AASP) or Apple Authorized Distributor (AAD) --> Find Locations
How to make a Genius Bar appointment
1. Go to Genius Bar Reservation and Apple Support Options - Apple
2. Go to "Get hardware help".
3. Select your hardware and continue selecting options requiring replacing parts until you see "Bring in for Repair"
4. Sign in with your Apple ID
or:
Refer to this document for ways to contact Apple ➞ Choose your country or region - Official Apple Support
Select your country (also look for "other" regions), then a product. If you don't see one that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.
or:
Contact Apple for support and service by telephone ➞ Contact Apple Support - Apple Support