@Deb8
Your Google Nest "home/structure" is named "Home"; it's the name you picked at some point, andit is displayed on your screen capture. Note that names of Google Nest "homes" must match exactly; "Home" and "Home " (with a trailing space) are not the same.
In the Google Nest app, if you go to Settings | Home info, you can find the name of your "home/structure".
As I said above, the name of your Google Nest "home/structure" displays at the top of the initial screen in the Google Nest app. If you have more than "home/structure" one set up, then you have a drop-down where you can select the "home/structure" you want to access.
The "Action required" message on your first screen capture indicates you have some sort of problem with your subscription(s).
A doorbell is NOT a "home/structure". Your "home/structure" is the name you picked for the network of all of your Google Nest devices when you first started.
My guess is that when you reinstalled your doorbell, you may have installed it in a different "home/structure" than the Google Nest "home/structure" named "Home" to which your subscription is attached. If that is the case, you will need to remove your doorbell from that second "home/structure" and add it back to your original "home/structure" where your subscription is located. Once that second, inadvertent "home/structure" is empty, you might want to delete it to avoid future confusion.
If you want to talk to someone at Google Nest to work this out, try the "Contact us" link under "Nest Aware Premier Care" on the page below to "Get 24/7 access to Nest Aware Experts on the Nest Customer Care team. They’re available to answer questions, help you access features, and manage your subscription." When you get to the "Resources" page, just click "Next step" to get to the contact options page (phone or chat).
https://support.google.com/googlenest/answer/9233159
