Awesome progress with your little girl!
Budgies tend to have "dinner" like we do so they're full at night! It's so adorable she's adjusting to her schedule
Don't worry about her coming out of her cage, my little girl LOVES her cage and used to not want to come out. Still, she only comes out when I have something she wants or she wants to terrorize the household or boss us around
She'll come out in time--one one hand, it's a good thing she doesn't want to come out--I think she must really love her cage!
If you really want her to come out, bribe her with millet or something she wants, it works like charm (most of the time)