In an attempt to be slightly more helpful, from those pics and your statement you blew one of the batteries, it looks like you're supplying neither enough amps nor enough voltage to the controller to run the motor.

I have a 36v motor that I overvolt to 48v. I have 4 6s 5000mAh batteries. As you can see in the pics, two sets of the batteries are first wired in series to create 2 nominal 48v 5Ah batteries. These are then wired in parallel to create a single 10Ah 48v battery. That powers a 36v 350W hub motor. The balance leads are wired together so I can balance charge the two banks independently, rather than having to pull the whole thing apart and charge each battery separately. Also, I used Andersen connectors to simplify the connections and make pull-apart (should I need to) really easy.

You don't need a cycle analyst to make it work. Essentially if you have a battery, a controller, a motor, and a throttle, you're good to go. The cycle analyst will help you fine-tune any pedal assist, monitor battery usage, and provide cutoff if you run the battery down too low, but again, it's an enhancement, not a requirement.