You are, as always, absolutely correct. I always get this wrong.
Like you, I work hard at trying "get it right." But, no, not always right (especially with "Replay").
As for the clock, it seems like we can always come up with an 'exception' for something, but, with only very rare exceptions, any time the ball becomes dead behind a goal line (touchdown, touchback, safety), the game clock will next start on the snap.
So, what exception might there be? An illegal pass by team A to conserve time, and thrown from A's end zone, with less than two minutes remaining in the 2nd or 4th periods. Team B may decline the penalty. and have the ball placed at the previous spot, and there is no distance penalty. But the timing rules still apply, and the game clock will start on the referee's signal.