So you will make no more changes to the schematic? There are still errors there. For example the ground wires I mentioned in post #2.
Look harder. These are commonly available components. Buy a dip-chip for breadboard compatibility, and do not forget to add a 0.1uF bypass cap.
It might work. But I would not buy that module. It does not look breadboard compatible, making prototyping difficult.
You may not need a level shifter, test the circuit without one to find out. If you do need one, the 74hc(t)14 is best.