Answers revealed in the comments.
GAME 1
What was the name of the Soviet spaceflight program that competed with NASA’s Project Mercury and was successful in placing the first human into space? The program’s name translates to mean “east” and it lasted six crewed spaceflights from 1961-1963.
GAME 2
Of the seven songs by Swedish artists that have reached #1 on the Billboard Hot 100, four of them are by what group? They are the second-most successful Swedish artist of all-time based on album sales.
game one answer: Vostok
game two answer: Roxette