So the question of the saucer shaped building with spinning vanes was answered...,
Hey, I was wrong by only 100%
Correct. Krall forces Kalara to
Not a big deal to me but I am curious, was how he knew that ever revealed?
they were part of the Yorktown station air circulation system.
Hey, I was wrong by only 100%

No, I think he was hunting all the time for the artifact the Enterprise-crew found and wanted to hand over to that alien race at the beginning of the movie. He was biding his time and searching for his ultimate weapon to punish the Federation.
Correct. Krall forces Kalara to
lure the Enterprise to the planet because he *somehow* knew they had it in their possession.
Not a big deal to me but I am curious, was how he knew that ever revealed?