Can I reinstall purchased games [Android / Google Play]?

Could I bought games from Google Play via the Accoutn the Pending is transferred to another device

Yes, I caught up with Minecraft [PE] and Stardew Valley once [is mainly about these games]

What if I install the games with the Google Account?

and the score as it would go like that?

Sry for this awkward spelling XD

Yup. Go! Simply log in to the Play Store and then go to "My Apps and Games" in the menu, there you can see / download all purchased / played games.

Yes, this is possible. It just has to be the same Google Account.

Officially it works, mine did not work with Minecraft