i want to check apple purchase date and warranty

Enter the serial number here, although it won’t give a purchase date if the warranty is clearly expired. It was good enough for me to get an accessory replaced under warranty at an Apple Store without a receipt. However, it was well before the one year warranty had expired.

https://checkcoverage.apple.com/

Purchase date is only in your personal email records.

Warranty expiration date is in

Settings, General, About