AMC 12 2022b Problem 5

The point $(-1, -2)$ is rotated $270^{\circ}$ counterclockwise about the point $(3, 1)$. What are the coordinates of its new position?

$\textbf{(A) }\ (-3, -4) \textbf{(B) }\ (0,5) \textbf{(C) }\ (2,-1) \textbf{(D) }\ (4,3) \textbf{(E) }\ (6,-3)$