TBA:
I don't know what TBA build its databases off, but you can report corrections to
contact+problems@thebluealliance.net.
TIMS:
The team profile section (Team Name, Team Nickname, Robot Name, and Team Motto) of TIMS does not close, however only your team's main and alternate contacts can access it. EDIT: There is a deadline for getting the information in the regional programs. (There's also a deadline for judges essays in the same place, which understandably has also passed.) You can update the section whenever you want, though--except for right now as TIMS appears to be down.