Topic: Disconnecting monitor safely from Babyface pro

Hello, so I feel these questions are somewhat silly but I just want to make sure. IF I disconnect my monitor while my interface is on, is that a problem? I feel I once read somewhere that connecting monitors while an interface is on can be an issue and should be done while the interface  is off.

Also, turning on my monitor while a song is playing wouldn't be an issue correct?

One last question, is the only way to turn off the babyfacepro on a MacBook Pro by unplugging it?

Thanks