Answers revealed in the comments.

GAME ONE FINAL QUESTION:

China shares a border with five of the seven nations whose names end in “stan.” Name one of the two “stan” countries that does NOT border China.

GAME TWO FINAL QUESTION:

The 11 popes who have served since the beginning of the 20th century have used seven different papal names. Other than John Paul, name one of the two papal names that have been used by multiple popes in that time.