Only if used as an adjective, e.g.:
"We'll fund your coup provided it doesn't put our assets at risk."
"Mechanisms for protecting at-risk children must be improved."
Or to put it another way, only hyphenate the two words if they appear before the thing that's at risk (or alternatively the at-risk thing).
No, faux pas doesn't require a hyphen.
"Documentation" doesn't require a hyphen.
No it doesn't require a hyphen.
No, the word 'together' does not require a hyphen
No, the word "part time" does not require a hyphen when used as an adjective. It is commonly written as two separate words in English language.
No it doesn't require a hyphen.
The word "affection" does not require a hyphen.
No it doesn't require to be hyphenated.
No, the correct spelling is extracurricular. Adding extra does not require a hyphen. For example, extraterrestrial is extra+terrestrial (no hyphen needed).
"Incorporating" is one word and doesn't require a hyphen.
No it doesn't require a hyphen.
Yes, "weekend" is not typically hyphenated as it is considered a compound noun that does not require a hyphen.