Yes
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-18 is the ratio of -18 and 1 ... nice and rational. Also the ratio of 18 and -1, of 36 and -2, of 180 and -10, etc.
It is neither because the square root of -18 is an imaginary number but the square root of 18 is irrational
No, -5 is a negative, rational number.
Negative numbers can be rational but not all negative have to be rational. It all depends if they can be put into a fraction.
The negative square of 36 is -(36*36) = -1296. It is rational.