Yesterday (1/29), I ran three FPs on my fresh 50 - Black Talon, Foundry and Kaon. I did not get the weekly credit. I had no disconnects at the end. I exited using the button on the mini-map. Other credits were granted correctly. Today I ran another FP and it counted as the third one toward the weekly, completing it.
Kaon doesn't count towards the weekly, it's in its own with LI (Rakghoul Conflicts). I do wish they'd toss it into the same tier as LI because of this.