To which part of her identity is nods referring when she says that “my identity seemed to hurtle towards me and my paste itself right in my face”

I would say she is referring to her racial identity.

She is talking about how people used to be very racist towards her because she is part Japanese (she is a Japanese-American citizen). Just by taking a glance to her face, they would assign her a certain race and treat her differently based on that. 

go shopping with my best friend,

watch movies with them,

go to the beach,

do makeup for each other and laugh if we look bad,

go skate boarding,

singing (or karaoke perhaps)

sleepovers,

photos,

going on road trips (disney, universal, buch gardens, euro trips, etc.)

!

being there for each other when we need (hugs)

i will work on it

explanation: