:ThumbsUp on this post. I too had issues. Got the quest to deliver 10 astroprobes and was told to land. I flew towards the planet but never got a message to beam down or anything so bought 10 astroprobes from the replicator button on the Inventory screen and was then prompted to deliver said supplies. MIssion done.
Just found a workaround. I shut down the STO start screen and signed out of the Arc completely. When I restarted Arc, I entered the new password and the launcher automatically logged me into STO. Hopefully this helps someone.