Hmm 
Regarding the hostname, yep, you don’t need to do anything to create that (as you say). Since that .internal name is created by Fly as part of the private network. There are range of .internal domains depending on what you want to do: Private Networking · Fly Docs.
It seems like several people are finding random suspended databases … Do you get any errors when you restart it? Only that was the suggested solution from someone from Fly earlier, in this thread: