Hello and welcome!
Millie is really sweet and the colour is lovely!
As we are only few months ahead of you with Kiki and also a first time parrotlet parents, I can share with you our experience to give you a bit of calm.
Will start with that beak flaking. Keep an eye on it, but it's perfectly normal as a tissue renewal. Will be quite a time, but it will completely smooth out. And then after a while it will repeat, etc. We offer Kiki an excellent multivitamins formula which is quite pricey, but it's a "drop a day" so God knows how long it will last. Other than that, as long as you offer your birdie daily quality seed mix (pellets highly recommended also), fresh veggies and water. You will absolutely ensure of optimal nutrition and that's all you really need.
As for molting, if Millie let's you gently scrich behind the cheeks and opposite the feather growth on top of her head, you will see loads of tube feathers and that should give you the indication whether it's molting or not. Otherwise lossing bit of feather while they clean is pretty normal.
OK, here comes the biting part LOL!
Ooh yeah, they bite a lot! Many have already mentioned that's is just their instincts.
But on the picture its clearly visible that you boast happiness and you are full of love for Millie.
And do just that, because Millie just needs to learn that if there are any safe hands to be in, its yours. And she will. Be patient. It will take some time.
As I have mentioned in the other post of yours in regards nutrition, we separate the sunflower seeds as a 2-3 a day treat from the seed mix.
I am normally the first to open his cage to say good morning and I have developed this routine with offering Kiki that first treat of the day.
In the beginning he was reluctant, but then after a while he went to eat from the palm, finish and just go back to the cage and start the day.
But now, months later it has turned in a ritual!
He starts chirping when he wakes up and when I come and open the cage he is like a bullet to have his sunflower treat.
Now, he eats the seed and then for as long as 15-20 minutes he just sits there in my palm and he slowly shreds the shells to a flour fine dust until it almost dissappear!He knows there is no seed, but likes to play. Just fluffing up, I talk to him, he loves when I scritch his head with the tip of my nose. He even tilts his head to scritch that lovely spot around the cheek. And so we talk and and he is just adorable being so fluffy and still sleepy.
My point is, in few months we went from finger chopping biting to Kiki allowing to scritch him with
my nose 🤭
Parrotlets are full of character and they bite super strong. But give your birdie the love and she will soon reward you with hers. It's sweet and worth every bite ❤
We are here if you have any questions! And we would love more pics if you care to share. We looove baby pics around here! 
