The last explanation here is the most to the point: go by a manual of style. However, the example is an incorrect rendering of the Chicago manual. First, the answer to your question is "no"--with the exception of the hyphen (as you see here, a quotation mark followed by a hyphen). Second, since the sentence which has the questions within it is not a question, it should not end with a question mark. Third, you do not need to have the question marks within the sentence, because we are told they are questions and the first words contain who, what, and does. Thus the sentence should be written as follows:
The main questions addressed in the literature are who said it, what does it mean, and does it all make sense.
Always keep in mind whether your (bracketing) sentence is a question or a statement. That rules your choice of the final punctuation mark. For basic rules in a small book which is well respected for many years now, see: Strunk and White. Some things may have changed but the logic of grammar remains the same.