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The constant is the number; the variable is the letter.
A variable is a part of a term which can change. A coefficient is a numerical constant, associated with a variable. For example, in the term 3x^2 , 3 is the coefficient, while x is a variable.
Yes, any number/term that does not contain a variable (x, y, t, etc.) is considered a constant.
If x = 1 then X is not really a random variable but a constant.
Not always. It could be a constant. For example x is one variable, and y = x-2 is another variable. Then x - y = x - (x-2) = 2.