Does Battlefield 3 record matches

Battlefield 3 does not record a replay of an online match, that is audio/video.

It does however record the statistics of the players in a match, to be precise Battlelog, a component of the game does this. This means a player with a Battlelog (Origin / EA) account can log into the website and view the kills, deaths, score, accuracy and so forth of all other player in that game.