Should apply into Rutgers Arts and Sciences and not mention CS as an intended major given the C- in Calc BC. You can say anything else. You can say politics. It doesn’t matter. My son had a low GPA, high SAT. But his grades were ok in 11th and reasonable in 12th. The Math grade in BC was not terrible. He was at an A-. I thought that was borderline weak for an intended CS major. So CS was mentioned as an intended major at Rutgers. Otherwise we wouldn’t have mentioned CS even at Rutgers so as not to take chances. He also managed to get into Rutgers Engg for CE (closed major). He also got into Penn State CS (closed major) and UPitt CS (closed major). So after those results came out, we reassessed and put in more lottery tickets. They didn’t make a difference.
My son had an A- in Calc BC (and a 5 on the AP that came in later), 800 in SAT Math, and 800 in SAT Math 2, an A in AP CS A, and a recc letter from the math teacher that would have been decent. This was helpful in mitigating a really low GPA.