Airpods pro gen 2nd does not show up on battery widget and can't find location & can't play sounds on find my app

I just got my AirPods Pro 2nd since my biggest flaw is I am clumsy, I do not want to lose my Airpods... and after I connected it with my iPhone 13 mini, there were a bunch of bugs:

1. I could not find my AirPods Pro 2nd location, and I couldn't play the sound on the AirPods and the case.
2. I could not see the case battery on the battery widget when the list was opened (the earbuds battery is shown), but when I closed the lids, both the case and the buds disappeared on the widget.

It said that my AirPods wasn't connected properly and yes, I can't find it at all although the phone is connected to the AirPods and I am playing music... but can not play the sound in find my apps"????

Does anyone have the same problem? And Apple, fix this please, I do not spend my hard worked money on these high-end products of yours to have these issues.