Archery is DEFINITELY A Sport. Where would we have been without Longbowmen at Agincourt, Crecy, Poitiers etc. We have a great tradition in Archery.
You also have to be reasonably fit to play Golf if you are going to walk round eighteen holes.
BW - it's just my opinion. I feel the same about Snooker, Pool etc. as I do about Darts. None of them are, shall we say, 'proper' Sports.
Should you say they are Games - I would agree with you.