What are the names of these tools?
This is a driver set.  It includes a handle (the green item), several bits (lower left) and several sockets (upper left).  The long items in the lower middle is an extender. One of the items in the bit tray is an adapter to allow the handle to accomodate the sockets.

The bits make it a multi purpose screwdriver. The sockets make it a nut driver.