Can my DVD player get a virus

There's almost no chance your DVD player can be infected with a virus of the kind that infect computer software. DVD players have simple computers in them that run commands from the disc as it plays, but memory is reset when you press Stop or eject the disc. The firmware in some DVD players can be upgraded by inserting a special disc (see 1.47), so it's theoretically possible someone could make a disc that damages the firmware of a player, but it's highly unlikely and would only have an effect on a few models