Logic level converter not working?
Based on your schematic, you need to provide a 3.3v power source to the 3.3v side of the logic level converter. You can use the 3.3v pin on the Arduino.

Also, it's really hard to evaluate your soldering with such a shaky picture. Just make sure none of the pins are connected. A visual inspection usually will do, but if you want to be sure, use your multimeter's continuity function. Test all adjacent pins to confirm they are not bridged.