Trying to see if I have Apple care on my watch

Use the advice provided in: View your Apple devices and AppleCare plans on My Support - Apple Support

Hello!

Below I a link that you can check for the warranty and Apple Care of your devices.

https://checkcoverage.apple.com

To find your serial number for your Apple Watch, go into (on your watch) settings -> general -> about, scroll down to serial number and type that in.

Hope I could Help!