How to authenticate genuine AirPods?

I bought a pair of AirPod Pros from a phone repair shop that was in my local Walmart they sold them to me for about $175 they work pretty good but why i think there fake is because it says power on some times just like the fake AirPods you would buy from a random shop and it doesn’t make the noises air pods are supposed to make. Like when I connect or disconnect it just makes a random noise and i looked on youtube to see the noises there supposed to make and their way different from the noises my make and randomly they make like a beep noise everytime i move and it gets on my nerves but the settings for the AirPods are just like any other one and it has spatial audio. And the packaging didn’t have that tiny green arrow when your opening it. i don’t know what to do should i ask for a refund?

[Re-Titled by Moderator]