transfer your account from Windows store to Steam. Only works the 1st time you login to steam version. Is what I did and had no issues since. See Steam PSO2 page for instructions if you do want to transfer.
Converse with fellow players
Sounds like PSO2 is crashing as it closes. This then making it hard for windows to close it when shutting down. When you close PSO2 look in Task Manager to see if a pso2.exe is listed after you shut it down. if it is, right click pso2.exe then click end task.
I hit this bug tonight with my Hunter lvl 4 and completed it and got 3 stars. Soon as I got out the quest did not update. Says to go back in each time. Completed it 5 times lol. Yesterday I did complete it with my Force alt character with no problems.