Re: "My Apple Pencil 1st generation has lost its pressure sensitivity without any accidental damage. I bought it off Apple under a year ago. Am now covered under warranty?"
You can find the serial number of the pencil and enter it online to check the coverage.
See how to: Find the serial number of your Apple Pencil
See where to enter the serial number to see what info. is available:
View Coverage - AppleCare & Warranty
Also: Find information about your warranty or AppleCare plan - Apple Support
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More info. if needed:
About the purchase date or expiration date for your AppleCare agreement
Eg: If your coverage expiration date is incorrect
See: About the warranty coverage for your Apple device - Apple Support
You can call Apple Support at 1-800-APLCARE (or use the app)
Apple Care Purchases and support webpage:
AppleCare - Apple
See what to do: If you can't find your AppleCare plan - Apple Support
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Sales & Support
The policies, terms, and conditions for the purchase support, and servicing of your Apple products.
Legal - Sales & Support - Apple