Check means to restrain or hold back. It can also mean to inspect something. The man in the picture is checking in his bag to see if he has forgotten anything. It might also mean a kind of repeating pattern. Check is also another spelling of cheque.
A full set of cards, as purchased from a shop in a box, is called a deck or pack.
A deck is a platform usually made from wooden slats. Decks are usually built outside houses that are on a slope, where the ground is too steep to have a useable outdoor space.
A peck is a quick movement made by birds when they eat, hitting their beaks against something. Birds also peck to do damage, for example woodpeckers make holes by pecking. A movement similar to a bird's peck is also called a peck, for example "she gave him a quick peck on the cheek".
A speck is a tiny piece of something, for example a speck of dust.