There are several questions here, but maybe I can answer the ones in the last paragraph. Different occupations use logic in different amounts.
Probably mathematical logicians use it the most, other mathematicians, somewhat less, and some other professionals such as lawyers use it even less, but still more than the average person. Here I am talking about informal logical reasoning, which is a mode of thinking that helps with many things in life.
Mathematical logic and formal logic, by contrast, are academic subjects (although of course they do have some relation with the layman's notion of logic.)
Being a mathematical logician is quite different from just practicing logical thinking. Mathematical logic is a big field of mathematics that includes set theory, model theory, recursion theory, and proof theory. Formal logic underlies all of these fields, but once you learn it, you can proceed to reason informally almost as much of the time as you can in other areas of math.
In short, logic isn't only about logical reasoning, just as math isn't only about numerical calculation. Probably the only way to know if you like mathematical logic is to be introduced to some of its subject matter (perhaps someone else will answer with some suggested reading for you.)