Appearance change is unlocked very early

[Nyagger]

for those wondering
keep following the main story until your island unlocks the guild office
do a few more steps including building a house and setting a resident
it lets you change everything including skin color and body type

[greyscale]

What about changing character name?

[Nyagger]

Originally posted by greyscale:

What about changing character name?

you actually can, in that menu

[The Guardian Fox]

The "very early" for this definitely depends on how you play. :P

[TurboQuest]

Was looking exactly for this, thank you very much for lettings us know

[FentaRino]

At least is not a DLC like in 3DS

[DeadCells]

Thanks for this info!

[Lily]

And island name? I read at the start you can change it, too.

[Kitty Katyusha]

do you unlock more haircuts?

[Mobile Suit God Damn]

Originally posted by Lily:

And island name? I read at the start you can change it, too.

Yes, you can change the name of the island at the same place.