Great question. Our system is really built for individual agents. If you are changing your profile picture between 2 agents sharing one account, then your gorgeous photo will show up on all their sent pieces and vice versa if you switch back. So, rezora does not recommend changing the info in My Profile back and forth between agents.
We have seen this "team" request before. Feel free to vote up this idea here: https://rezora.ideas.aha.io/ideas/RMS-I-7
Also, I suggest a work-around. In the My Profile section, add your group name instead of first name last name. Use your group email, phone, etc.