CORRECT!

Often, it makes sense for pilots, especially pilots of smaller aircraft, to request an intersection departure to facilitate the aircraft's takeoff and departure from the terminal area ahead of, say, a jetliner down in the run-up area. We don't always need 11,000' of runway and can be up and gone pretty quickly in a C172. Besides, I would rather leave before the big jet so I don't have his wake to deal with during my take-off roll and initial climb.

Radio procedure is all about clear, concise communication. For a lot of reasons (positive visual and/or radar ID of the aircaft on the ground, effective and safe traffic management), it is advisable for the pilot to state the intersection at which it is positioned so there is no mistake. We don't want the safety of our operations to depend on assumptions (our own or ATCs) and knowing where we are and making sure that others know where we are as well is an important safety consideration. See Sec. 4-3-10 of the FAA's Aeronautical Information Manual (AIM).

Answer b) is incorrect because civil airport takeoff minimums apply to operations conducted under part 121, 125, 129 or 135 of the FARs. Indeed as a general-aviation, Part 91 operation, you can depart '0/0' (0' ceiling and 0' visibility) if your guts and skills and judgement allow. Answer c) is incorrect because there is no requirement that pilots state their position when parallel runways are in use, but it is still a good idea to include the runway YOU are using when communicating with the tower or acknowledging a take-off clearance. (i.e.: "N12344 holding short, runway 5/R, ready for takeoff" or "N12344 holding short, runway 5/R, Alpha 2 intersection, ready for takeoff").