So Quickstart has 'finished' but there are still apps that haven't downloaded?
I've seen this myself a couple of times..
I tried going to Settings > App Store and toggling the switches for Automatic Downloads
Then doing a force restart
- Press and quickly release the Volume Up button. Press and quickly release the Volume Down button. Then press and hold the Side button until you see the Apple logo.
also, here is a support article
If you can’t download or update apps on your iPhone or iPad - Apple Support