Box lines are no longer required. Nor are the copyright, forward slash, ampersand, crosshatch or bullet.
The dagger and asterisk are most often used as reference notes so they would be required (that's where they are grouped in my list 🙂 ).
The note separation line does not need to be listed...nor do the line mode indicators for it.
Yes, if the closing single quotation is listed, I would list the opening one as well.