cable car - walk - cable car on Mt. Huashan

hi.
our plan is to take the cable car from the foor of the mountain going to north peak then walk to reach the east peak stay overnyt to watch the sunrise then.....

questions:
if we walk from north to east peak will we pass the west and south peaks?
we paln to go down by cable cars again, should we go back to the north peak or can take the west cable car going down?
how many hours to walk from north to east peak?
how many hours to walk from east peak to west to take the cable car?

super thanks,
tina