The sentence that contains a punctuation error is "She is a well known basketball player".
"She is a well known player" contains a punctuation error because there must be a hyphen between "well" and "known". Different dictionaries, such as Merriam-Webster's Collegiate Dictionary and Collins Dictionary, state that the correct way of writing it is "well-known". The first sentence is correctly punctuated as well as the last one. Moreover, the third sentence does not contain a punctuation error because the hyphen between "well" and "known" has been added.