If you would like to use react-native-vector-icons for your Toolbar icons, you can follow this example or this gist.
Redux can be easily integrated with RNN, follow this great blog post for instructions.
If you prefer Mobx over Redux, show your interest in this thread. Also checkout @mastermoo’s POC of using navigation with Mobx.
Check out this link to find a small boilerplate for RNN + MobX (w/ Provider).