Hi there!
If you’re playing the current version of the game (version 6.3 as of this writing) then this problem is most likely due to the entirely redone Loyalty-System. Which is to say it is not a bug at all but a completely new feature set.
In order for you to be able to do anything with a new servant (including your starter) you need to do an action to raise loyalty and then go into that servants ‘Character Info’ and there go to the ‘Training and Rules’ tab (the button with the heart and food icon). On the left-hand side of the screen you will see a tree-like menu of icons where you can then begin to unlock your interactions with the servant with the gained loyalty points.
The ‘Basic Servitude’ lets you assign jobs, while ‘Dating’ lets you date them and so on.
But since this threat already exists there is one problem that I have come across: I can’t for the life of me find the tattoo menu.
Wasn’t that activated with a special button in a servants equipment tab once you build the beauty parlor? If anyone could share where to find it in the current version, I would much appreciate it.