Generally no; these pests enjoy nesting toward a surface near the ground. There are rare instances; however, that this will happen, but most tend to lay their eggs between the floor and the wall.
Dish soap kills bugs by melting the waxy coating on their exoskeletons. This means all bugs with exoskeletons will die if you use dish soap, not just chinch bugs.
There is a period of time after breeding turtles or other mobs where you cannot feed them or breed them again. When you breed turtles, only 1 will lag eggs....