(i) $\mathrm{R}$ is reflexive if it contains $\{\left(1,1\right),\left(2,2\right)$ and $\left(3,3\right)\}$. Since, $\left(2,2\right)\in \mathit{R}$. So, we need to add $\left(1,1\right)$ and $\left(3,3\right)$ to make $\mathit{R}$ reflexive.
(ii) $\mathrm{R}$ is symmetric if it contains $\{\left(2,2\right),\left(1,3\right),\left(3,1\right),\left(3,2\right)$, $\left(2,3\right)\}$.
Since, $\left\{\left(2,2\right),\left(1,3\right),\left(3,2\right)\right\}\in \mathit{R}$. So, we need to add $\left(3,1\right)$ and $\left(2,3\right)$.
Thus, minimum ordered pairs which should be added in relation $\mathrm{R}$ to make it reflexive and symmetric are $\left\{\left(1,1\right),\left(3,3\right),\left(3,1\right),\left(2,3\right)\right\}$.