>>Geht dieses "and" nur für's Bilanzieren mehrerer Spiele ("x gewonnen, y verloren"),
Yes; 'two and one' means two games won, one game lost. It's about their record for the season so far, after having played three games.
(.500 means 50%, so that team has neither a winning nor a losing record; they have lost as many games as they have won.)
>>oder nicht auch für "scores" (Punkt-Ergebnisse einzelner Spiele)?
No; if you pronounce the hyphen (-), it's 'to.' 'Two to one' (also just 'two-one') means the winning team scored two points, the losing team scored one point. It's about the score for one particular game.
In AE, 'two (to) zero' is formally correct, but 'two (to) nothing' is much more common in casual conversation. There are also other slang words for zero; 'two (to) zip' is fairly common, and you might very occasionally also hear 'zilch,' 'nada,' etc.
'Two (to) nil' is now sometimes used specifically for soccer, because it sounds so British and American soccer fans tend to be Anglophiles. (-; But 'nil' would never be used for baseball, basketball, American football, and so on.