Well...having two kids is a nice bonus...so do you get to name your partner or do they come with an automatic default name that you can't change like it was in IoH?
You get to choose both your name and your partners, the default is shown for your partner automatically but you can just delete the name and make it whatever you want. You can also customize the character's colors but it also affects the rest of the game so the default may be preferred.
Character's....colors? What do you mean by that? :/
Well, let just say, the simple version of 'costumize your hair color and appearance' thing You can change both characters hair and bandana color, but it affects not only you
Townspeople's color can be also affected by what color you've chosen for your character Like certain character will wear diff color of clothing if you change your bandana's default color