To talk to team mates you have to hit Enter then press Tab to switch between team mates and everyone.
That's right. This actually confused me when I started with the game. Working on Shift or Ctrl + enter for team chat too.
Any chance of adding [Team] or something like that in front of the received text when it is sent by team chat? When receiving messages it would be very useful to know what is going out to everyone and what is just to you and the team. (Sorry if already in 2.2, haven't tested that yet)