The inductor is a VERY CRITICAL part of a switch-mode power-supply (SMPS) circuit. The data sheet or app notes for the chip should specify exactly what brand/part-number is appropriate if it is available as a commercial product. Or they should specify EXACTLY what core and the winding specs if it is some custom design part. Attempting this circuit without a very good idea about the inductor isn't worth even starting the project, IMHO. If you don't know what inductor the circuit was designed for, you are dead in the water.
The resistor values for the voltage dividers for the voltage sense circuit should be almost trivial to calculate based on the desired output voltage and the set-point voltage of the chip.
Wiring an LED (D4) directly to any power supply without a current limit resistor is practically guaranteed to blow it up. Might as well just toss it directly in the trash bin than to wire it without a limiting resistor.
It is not at all clear what is the purpose of R8 and R10? I have never before seen an LED wired this way. Remember than LED will drop a fixed voltage, and the purpose of the current limiting resistor (R7 and R9) is to drop the voltage difference between the supply and the LED. But you don't need a shunt resistor like R8 and R10.
Even after you have the proper inductor, it is unlikely this will work on an ordinary breadboard. Because of the high frequencies, high currents, and close proximity of high sensitivity nodes (like "Feedback") and high current nodes (like "Output"), most data sheets for SMPS chips say that the PC board layout is VERY CRITICAL also. And they typically provide example PC board layouts in the data sheets or application notes. Unless you have considerable experience with SMPS, it is unwise to stray very far from the recommended PC layout.