Dimensional analysis simply ensures that two sides of an equation have the same dimensions. By "dimensions" I mean quantities like distance, pressure, force, time, electric charge, etc. For example, a distance can not equal a time. So, if the dimensions are wrong, the equation is wrong, but if the dimensions are right, the equation may be right or it may be wrong. Getting the dimensions right is only part of the task!
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yes
no it can't be
7-2 IS positive. You do not need an equation for it. And if it were not positive, no correct equation would show it to be positive.
The equation above is correct.
It is when an operation is wrong and you have to find the mistake and correct and get the right answer