There are two problems with your picture (apart from the representation of the wires being a mess):
- The anode of the backlight's LED is unconnected. It must go to vcc (if you want it on all the time) or to a digital pin (maybe use a transistor in this case, depending upon the current that the LED draws) if you want to turn it on and off in software.
- V0 (pin 3 of the module) is grounded. This is the pin for the LCD's contrast and it must go to the wiper of a 10k trimmer.