All your apps should work just fine on your Tab 3. In my experience sometimes they've automatically come down and sometimes they haven't. When you set up the Tab initially and log into your Google account it'll ask you if you want to restore your your account and apps. If they don't all automatically download you'll just need to go to the Playstore --> Menu --> My Apps and then select the ones you want to install.
from a '14 Note 10.1