Head to https://www.faceit.com/en/signup and enter your email.
Pick your FACEIT username and fill out the requested information:
Go to https://www.faceit.com/en/register-game/newstate and enter your NEW STATE username to register your account on FACEIT.
Click on https://www.faceit.com/en/organizers/671cbd95-1403-4a9c-af90-6f8e2b1d6869/NEW%20STATE%20MOBILE and select your desired tournament (Country restrictions apply)
Press "JOIN TOURNAMENT" on the right.
Select the team you wish to play with.
Choose the players for your team and choose a captain, then hit "CONFIRM".
If you've not created a team on FACEIT yet, here is how to do it:
1) Create team: https://www.faceit.com/en/create-team (Select NEW STATE)
2) Invite your teammates to your team. In order to invite them, they have to be friends with you on FACEIT, so remember to send them a friend request and ensure they've accepted. All players that join a NEW STATE team must have their New State account linked on FACEIT first.
3) All done! You can now join any NEW STATE competitions.
You are now registered to play, good luck!