Which sentence should I use to show that she has the same face and should I use feature instead of face?
"Your face looks like my sister's friend face"
"Your face looks like my sister's friend"
I would use neither.
It is normal to say that someone looks like someone else, ergo
You look like my sister's friend.
If I wanted to point out that their eyes were similar, I'd say
The colour of your eyes look like my sister's friend's
The friend "belongs" to the sister, and the eyes belong to her or him, hence we need two possessive apostrophes.
I would write:
Your face looks like the face of my sister's friend.
Your face looks like the face of a friend of my sister's.
Your two proposed options don't work for me, because the first one would need the addition of possessive 's after "friend", and the second one compares a part with a whole (your face = sister's friend).
Yes, you can use the word features, but you'd need to remodel the sentence to something like
Your facial features remind me of my sister's friend.