The images are very confusing, could you explain what you mean by "correct"?
in the first image, the variable resistor is connected to the positive of the power supply, is this to vary the dc voltage?
on the second one, the variable resistor can cause a short circuit if adjusted all the way to 0 ohm (left or right, depends on how you connected it). also the indicator circuit and switch are in series with the supply, the switch and fuse should be the only things in series, the indicator should be in parallel or you may not get enough current to get the circuit working.