Just to clarify the team updating - because teams/squads are dynamic within career, players will remain playing for whatever team they are playing for - changes to lineups or squads won't impact ongoing careers.so to me ( I maybe wrong) but it looks like a new career is required as teams dnt seem to update in an existing career.
The player updates that are possible are that if you update a player's appearance/identity in the academy, it will reflect for that player in career (provided they are a linked player), likewise team visuals and identity, like uniforms and logos, will be reflected inside career.