Phrase Meaning – Positive Phrase for Quoting Something Not Word by Word

Elendil's answer is correct for British usage. In American usage, though, " is usually used for both purposes (speech, as in your first example, and use-mention distinction, in the second); and periods (full stops) generally go inside the quotes, so your second example would be, ...meant by "feature."

I see no reason why "to do not" would be ungrammatical. In fact, there's a novel by Hemingway with the title: To Have and Have Not. The negative adverb, here, is placed after the infinitive.

While this shows that the phrase to do not is grammatical, it does not show that the phrase is idiomatic. In fact, I would recommend against using to do not. First, it does not have much precedent, as this ngram search reveals. Second, it could easily be confused with the phrase to do naught. This play on words might be intentional in the phrase to have not, but not in your case.