I don't have this charger, but looking at the manual it appears to be like most others.

Use the Charge menu function to charge the pack. As long as the balancer is connected it will also balance the cells while charging, ie balance charge. Notice in the Programme Structure flowchart the first flow that starts with charge the next step is the balancer settings for the number of cells.

Balance mode is just that, balances only, no charging. Really little reason to use it, just balancing is almost always a waste of time and can even be detrimental to the pack. Balance mode discharges higher voltage cells to match others, as shown on the balance mode portion of the flowchart, the 4th flow. Notice how the higher voltage cells are all brought down to match the low cell of 3.32V in the example.

Although there appears to be some issue with the pack, as the 3rd cell voltage of 0.00 is not good.