By the essence and nature of existence, contradictions donot exist. If at all you feel that you are facing one, check your premises. You will find that one of them is wrong.
Tournament Entry Rating is calculated by the formula (CurrentRating + HighestRating) / 2. The entry rating will never drop to more than 100 points below your Highest Rating.
Rated stats are updated within 24 hours of the last completed rated game.