@Canderous_Otto
Just to be sure can you run a game repair per below
Non-Streaming launcher - Log into the launcher but don't click Play. Check for small letters "ST" in the bottom left corner.
If this is NOT present, With the new launcher after login , select the username pulldown on the top right and select settings, then press repair.
Streaming launcher - If the letters "ST" is present, close the launcher, right mouse click on the game shortcut,
select open file location and delete the BitRaider folder. Then start the launcher
Then with the launcher closed go to C:\Program Files (x86)\Electronic Arts\BioWare\Star Wars-The Old Republic\swtor
in that folder will be a 1GB cache file called diskcachearena , delete just the diskcachearena file, a new one will be auto created on the next launch
Then reset the mission on fleet, see if this makes any change
one last thing after the mission is reset just in case, right mouse click on your character portrait and if you have listed the option to "reset all active phases" select that as well.