7. I am good at math. Will I make a good math tutor?
Not necessarily. While a solid understanding of the material is a necessary condition for successful tutoring, it is not a sufficient condition.
Even more important than understanding the material is having a strong desire to help the student. Absence of this characteristic will only lead you and your students to failure and frustration.
Please realize that its no crime to be a person who is poorly suited to be a tutor. However, it really is a crime to be such a person and yet tutor anyway. It is an intellectually honest and honorable thing when a person realizes that he or she is not suited to the tutoring activity. Similarly, it is a damaging act to yourself not to recognize this condition if it is present.
Prospective tutors must be self-aware enough to recognize that not everyone who can do math should be a tutor (and vice versa, of course). To make this determination about yourself, honest introspection is required. To look inward like this will benefit you tremendously, regardless of what you see within. There will be carryover into all parts of your future life, because knowing yourself honestly and clearly will only help you to make wise life choices in the future.
If you don’t actually feel the desire to help others, or you don't see the real benefit in doing so, you should do yourself the good deed of looking elsewhere to find the kind of work that will be more satisfying for you instead.