I believe the domino game is Flip Flop.
"Cuestion Centavos" doesn't make much sense. I think it could be "Cuestion de Centavos", which would mean "A Question (as in a matter) of Cents".
"De Par en Par" means "In Pairs", or maybe more closely "Two by Two".
"La movida" means both "the movement" and "wheeling and dealing", so it appears to be a pun kind of thing.
"Dame carta" you got exactly right, though, Steve. You might even call it "Hit Me".