Google Play Library not installing apps on new phone

I've just got a new Galaxy 8+ and have been trying to copy everything over from my old S6.

I used Smart Switch, and it has imported contacts, texts and some apps, but a lot of apps are missing.

In Google Play, I can see all my app's (from phone and tablet), but Install All doesn't do anything. Manually tapping Install for each item doesn't seem to work either, there's a brief flash on the icon, but they're not installing.

What am I doing wrong here?!!!

Welcome to Android Central! Are you looking in the Play Store app on the phone, or are you on the Play Store website on your computer? Use the Play Store app on the phone, tap Menu>My Apps, and look at the Library section. Are you able to install apps from there?