Some comments

1. Navigation suggestion

I think is not a good idea to have the implemented navigation, because it cause problems with the navbars.

A better option could be:

RootStack
 └ Drawer
 |  └ Tabs
 |  |  └ Home
 |  |  └ Contacts
 |  └  Dos
 |  └  Tres
 |
 └ screen1
 └ screen2

2. I add a gesture handler to manage the animation, you can swipe to open the drawer and the screen will follow your finger.
3. I created a custom navigator to keep the navigation state coordinated with the custom components. This is really important because now react-navigation can handle the drawer, and you can add deep-linking to these screens in the future.