>>537854181
Yeah, you have to groom it daily and on day 3 you will get the hairclip. Don't know what else it gives after that.
>>537859516
Kinda. Having some of the pieces but not all will limit you to a few pallets, collecting the full outfit will unlock more. 3* have the least color choices, 4* has an average amount, and 5* is pretty much all of them and the more evolutions you have of an outfit the more pallets you unlock. It's pretty limiting but I just got used to it now.
>>537862938
The sea of stars does not give you dye materials daily, it only gives you currency for the starlight shop or heart of infinity. You get very few free dye materials per month unfortunately, so dye wisely.