Answers revealed in the comments.
GAME 1
Musicians who were born James Chambers and Neville O’Riley Livingston, but are better known by stage names, are among the recipients of the Order of Merit from what island country?
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Jamaica
GAME 2
John Lithgow, Jeremy Northam, and Anton Lesser have all played, in the same TV series, three different holders of what political position?
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Prime Minister of the United Kingdom
hebspeaks 
GAME 1 answer:
Jamaica
GAME 2 answer:
Prime Minister of the United Kingdom