In regards to full system backups, there's no real need to back up the OS itself. Canonical will give you a clean Ubuntu install if you ask then nice enough, after all. Personally, the risk of having to spend an afternoon reconfiguring my system isn't that big a deal compared to the storage and time needed to back up an entire image.
I know systems generate a lot of "cruft" in terms of instslled programs and tweaked configurations over time which can be hard to keep track of and remember. But imo that should be avoided at all costs because it leads to compatibility and security issues.
For backing up databases, there's scripts like automysqlbackup and pg_dump which will export a database to an sql file which can be easily backed up without worrying about copying a broken file.
I actually recently set up borgmatic earlier today and I'd recommend it except for the fact that you seem to be using Docker, and I'm not sure how best to backup containers.