Tesserax instructions are correct.
But you MUST connect them by ethernet.
should be kept in 'Bridge' mode in the Internet tab, as this would basically be an 'extension' to the primary base station.
No, set them to static IP if both are bridged.. if the first extreme is working as main network router then it can be set to dhcp to pick up the main network IP. But using static is much more reliable for the bridge units.. and you can put them outside the dhcp scope to keep things clear.. (using dhcp reservations inside the scope is possible but reliability is poorer).
You cannot extend wireless and then change the wireless name in airport routers. (Other brands can do this but Apple are designed to do bare min).
I am doing exactly what you want.
My main router is not airport but has a restricted dhcp scope.

Also all devices have a 1hour lease time to keep dhcp table updated on this main router.
First Airport looks like this.


Second airport looks like this.


The wireless tab is just usual create a wireless network.. each has different name.. you can set different password.
But anybody with half a brain can work out how to access your main router in this kind of setup .. so be warned.. apple security is illusionary if anyone has access to the airport .. a one sec press of the reset will give them a 5min window where they can discover the passwords.