If $z$ and $\omega$ are two complex numbers such that $| z \omega | = 1$ and $\arg ( z ) - \arg ( \omega ) = \frac { 3 \pi } { 2 }$, then $\arg \left( \frac { 1 - 2 \bar { z } \omega } { 1 + 3 \bar { z } \omega } \right)$ is: (Here $\arg ( z )$ denotes the principal argument of complex number $z$)\\
(1) $\frac { \pi } { 4 }$\\
(2) $- \frac { 3 \pi } { 4 }$\\
(3) $- \frac { \pi } { 4 }$\\
(4) $\frac { 3 \pi } { 4 }$