New girl doesn't seem like the possessive sort, but what's with all these people doing background checks and whatnot? Couldn't you kids try getting to know someone in a more normal, less yandere-esque fashion?
I am also disturbed by Tora's inability to read body language. The Catulus have clearly got cat instincts, so they should also recognize catlike reactions in each other. You shouldn't carelessly approach a cat who's curled into a defensive posture: you can cause it to lash out and shred you in a panic.