Do starfish have faces?

No.

face

/feɪs/ Show Spelled [feys] Show IPA noun, verb, faced, fac·ing.
–noun
1. the front part of the head, from the forehead to the chin.

http://dictionary.reference.com/browse/face



On the end of each arm or ray there is a microscopic eye (ocellus), which allows the sea star to see, although it only allows it to see light and dark, which is useful to see movement... The mouth of a starfish is located on the underside of the body.

Starfish or sea stars are echinoderms belonging to the
class Asteroidea.

Well, maybe they have a "chin" in their name!

https://en.wikipedia.org/wiki/Starfish

Starfish do not faces, but they do have a mouth on their undersides and an eye in each arm.
https://www.thoughtco.com/facts-about-sea-stars-2291865