If the sentence, "Who's who in my family." preceded an exposition of family members - say, photos, with captions like, "This is my mother", then no question mark is called for.
If what followed was asking questions of some kind, then yes.
As to your second question, that's a bit of a quagmire:
There are differences in typographical rules and conventions of using ellipses between languages.
The style and use varies in the English language. The Chicago Manual of Style suggests the use of an ellipsis for any omitted word, phrase, line, or paragraph from within a quoted passage. There are two commonly used methods of using ellipses: one uses three dots for any omission, while the second makes a distinction between omissions within a sentence (using three dots: . . .) and omissions between sentences (using a period and a space followed by three dots: . ...). An ellipsis at the end of a sentence with no sentence following should be followed by a period (for a total of four dots). The Modern Language Association (MLA) however, used to indicate that an ellipsis must include spaces before and after each dot in all uses. If an ellipsis is meant to represent an omission, square brackets must surround the ellipsis to make it clear that there was no pause in the original quote: [ . . . ]. Currently, the MLA has removed the requirement of brackets in their style handbooks. However, the use of brackets is still correct as it clears confusion.
According to Robert Bringhurst's Elements of Typographic Style, the details of typesetting ellipses depend on the character and size of the font being set and the typographer's preference. Bringhurst writes that a full space between each dot is "another Victorian eccentricity. In most contexts, the Chicago ellipsis is much too wide" — he recommends using flush dots, or thin-spaced dots (up to one-fifth of an em), or the prefabricated ellipsis character (Unicode U+2026, Latin entity …). Bringhurst suggests that normally an ellipsis should be spaced fore-and-aft to separate it from the text, but when it combines with other punctuation, the leading space disappears and the other punctuation follows. He provides the following examples:
i … j k…. l…, l l, … l m…? n…..!
In legal writing in the United States, Rule 5.3 in the Bluebook citation guide governs the use of ellipses and requires a space before the first dot and between the two subsequent dots. If an ellipsis ends the sentence, then there are three dots, each separated by a space, followed by the final punctuation.
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