Can you check it this please ?

She still goes on about his bad habits.
I go went through my work from last time.
You hang up your cellphone.  - Perfect in British english you would use mobile for cellphone
We need keep up our relationship. - Good an alternative could be "we need to keep working on our relationship"

can you check it please ?

she still go on his ( her ) bad habit.
i go through my work last time.
you hang up your cellphone.
we need ( to ) keep up our relationship.

can you check it please ?

she still go on his bad habit. 

she still goes on about his bad habit ?????

I am going   /  I went     through my work from last time.
you hang up your cellphone.
we need to keep up our relationship.