I studied CS at Duke. If students in your program can ask the mentor questions about their problem sets, I highly doubt Duke CS department will allow this. Our program was hyperaware of cheating. Most problem sets were supposed to be done individually. They were using software to audit our submissions to catch cheating.

I think students would pay to get help on their problem sets. I knew many students that paid for Chegg. I don't know many students will pay for general tutoring.

Also, keep in mind, a lot of people try CS and don't end up liking it. Most people I know would not want to be a programmer even if they were guaranteed to get A+s in all their college CS classes. It takes a certain type of person to love staring at code on a computer screen 8 hours a day. It's not for everyone.