Sims 2 Store Edition requires an installed copy of The Sims2. Please install the Sims 2 before...

The Sims 2 Store addition is when the Store came out and you had to add the store to your game. It's not a game on it's own, is it? I remember it being a way for them to install the Store items.

You shouldn't need online verification with the disks. What message are you getting from trying to install the disks? :(
It will offer a chance to register them but you don't have to register the games; choose No.