Almost -
You have the resistors configured wrongly in the current sense; the dividers should be from each end of the shunt to ground, with the comparator inputs from the divider junctions.
The idea is that each input sees around 2/3 of the voltage to ground on the shunt terminals.
As there is now no real load on the 5.6V reference supply that could be simplified and have the transistor removed.
You only need one preset to calibrate each comparator; it's too easy to get in an impossible situation with two presets in the same section - eg. the lower the one on pin 2 of the voltage reg is set, the lower the reference one must be set and the lower the overall accuracy.
The pin 2 divider in that one should be fixed, with values that put it around eg. 3 - 4V with 7.5V output.
The same divider could be used for one side of the current sense part. Duplicate it at the diode end, but in that case add a preset in series with the lower resistor.
That's another general design principle - you normally use a preset and a fixed resistor, so when the preset is at zero the fixed resistor sets the actual lowest value in the circuit. It makes the preset easier to adjust and avoids things accidentally being shorted or set out of range.