AirPod pro not working properly

It seems like that there is some hardware issue with the charging case. To see if the issues are indeed hardware issues, you can try to reset the AirPods to factory settings

1. Put your AirPods in their charging case and close the lid.
2. Wait 30 seconds.
3. Open the lid of your charging case, and put your AirPods in your ears.
4. Go to Settings > Bluetooth. Or go to Settings > [your AirPods].

• • If your AirPods appear there as connected, tap the More Info button next to your AirPods, tap Forget This Device, then tap again to confirm.
  • If your AirPods don't appear there, continue to the next step. 

1. Put your AirPods in their charging case, and keep the lid open. 
2. Press and hold the setup button on the back of the case for about 15 seconds, until the status light on the front of the case flashes amber, then white.*
3. Reconnect your AirPods: With your AirPods in their charging case and the lid open, place your AirPods close to your iPhone or iPad. Follow the steps on your device's screen.

If this is not working for you you might want to order a replacement charging case

If the problem persists there is most likely hardware issues with your charging case. You can order a replacement:

AirPods Replacement, Repair, & Service - Apple Support