I have a plot arc in mind, but it all hinges on the feasibility of an earth-like world existing in circumbinary orbit around two k-class (or g-class) stars. The looming danger in the story arc is that the stars (already in close orbit to each other) grow closer over millions of years, and are due to collide, which is to be a world-ending event.
Yes. The planet's orbital radius will need to be at least 2-4 times that of its suns, and its year will have to take at least 3-8 times the period of the two suns. Your suns will be between .45-1.04 solar masses each, and if you assume that the suns are similar to Earth's, the orbital radius should be 1.41 AU to get a similar amount of radiation as Earth, and the suns cannot orbit each other at a distance more than .35 AU. There should be enough space for all of those planets to exist.