The reason for the compiler errors that you get is that you have a huge bunch of variables, one group per each section in your program, but don't use them in the appropriate place. I'm referring to the variables "quarterX", "dimeX", "nickelX", and "pennyX" (where "X" is 1, 2, 3, and 4.) If you double-check carefully which variables you use in which section, you will notice the discrepancies, which cause the compiler errors.
A. In section "second possible way" and also in section "Third possible way", you use in the long "cout" statement variable "penny1" instead of, respectively, "penny2" and "penny3".
B. In section "Fourth possible way" you use in the long "cout" statement several variables that haven't been assigned any value: "quarter4", "dime4", and "nickel4".
C. In section "Third possible way" you use variable "dime1" in the computations (but should use "dime3"); and you use "quarter2" (but should use "quarter3").
If you fix all of that, the program will compile. More tests and changes are needed, though, before a fully functioning program is finished. (By the way, you use a very complicated logic -- I don't see the need for the four "sections" at all, as I think that a single such "section" should suffice.)