Q: Cannot update apps

Log out and back into your account with the updated password e.g. tap on your id in Settings > iTunes & App Store and tap 'sign out' on the popup : What to do after you change your Apple ID email address or password - Apple Support

What order have you now done things ? You've changed your password and then logged out and back in on your phone (and everywhere that you are using it) - you were able to log back in ok, and you haven't changed the password again since then ?

Have you tried logging out and back in again - you can also do it via the bottom of the Featured tab in the App Store app (tap on your id), see if that then works

No - and as long as it's the same account (the id that's showing for the updates is that account ?) there isn't anything to transfer.

You could also try closing the App Store app via the phone's taskbar and doing a soft-reset/reboot of the phone. Or try downloading the updates on your computer's iTunes and sync them over