Difference between Arduino 5V power and output of 7805 5V power

Zepro i think i connected is right, 1st pin is in of wall wart 7.5V 2nd is ground and last or 3rd is output of 5V. But i'm not sure that i done this one right : 5V > +ve or bigger leg of LED and ground leg or shorter led to 220 ohm register to ground.

5V > +ve of Led, -ve or 0V -> Register -> ground.

I'm not sure of above line do i need to connect Register like this one ?

5V> Register > Longer Leg of LED, shorter leg directly to ground ?