P(z₁), Q(z₂), R(z₃), and S(z₄) are four complex numbers representing the vertices of a rhombus taken in order on the complex plane, then which one of the following is/are correct?

(1) $\mathrm{PS}\parallel \mathrm{QR}\Rightarrow \arg \left(\frac{{\mathrm{z}}_1-{\mathrm{z}}_4}{{\mathrm{z}}_2-{\mathrm{z}}_3}\right)=0\Rightarrow \frac{{\mathrm{z}}_1-{\mathrm{z}}_4}{{\mathrm{z}}_2-{\mathrm{z}}_3}$ is purely real

(2) Since diagonal bisect the angle

$\Rightarrow \mathrm{amp}\left(\frac{{\mathrm{z}}_1-{\mathrm{z}}_4}{{\mathrm{z}}_2-{\mathrm{z}}_4}\right)=\mathrm{amp}\left(\frac{{\mathrm{z}}_2-{\mathrm{z}}_4}{{\mathrm{z}}_3-{\mathrm{z}}_4}\right)$

(3) Diagonals of rhombus are perpendicular. Hence, (z₁ - z₃)/(z₂ - z₄) is purely imaginary.

(4) Diagonals of rhombus are not necessarily equal.

Hence, $\left|{\mathrm{z}}_1-{\mathrm{z}}_3\right|\ne \left|{\mathrm{z}}_2-{\mathrm{z}}_4\right|$ not necessarily.