Non-American here, but I'd say yes on the apple pie, no on the baseball. I'm used to multiple countries sharing a 'national sport' (https://en.wikipedia.org/wiki/National_sport) so it doesn't seem like a claim about baseball being uniquely American, so much as Americans being really into baseball. Also the sport really was developed in the US and then exported, so I think they have the right to claim some kind of spiritual ownership if they want to.
edit: looks like that last point applies in the case of African-Americans and spades, too
