Thanks for reaching out to the Apple Support Communities.
I see that you are having an issue using Wi-Fi when connected to your internet connection. It's important to make sure that there aren't any issues when using Wi-Fi, so I'll be happy to help.
It looks like you've done a good troubleshooting step by restarting the router. I also recommend following all of the steps in this support article: If your iPhone, iPad, or iPod touch won’t connect to a Wi-Fi network . You can skip any of the steps that you've already tried.
Let me know if you have any questions.