# How to draw direction arrows in lines and arcs?

I want to draw the following picture. And so far my code is the following:

\begin{tikzpicture}[xscale=1.5,yscale=1.5]
\draw [->] (0,-2) --(0,2) node [left] {${\rm Im}(p)$};
\draw [->] (-2,0) --  (2,0) node [below] {${\rm Re}(p)$};
\draw [thick] (1,-1.8) --(1,1.8);
\draw [fill] (0,-1.8) --(1,-1.8); \draw [fill] (0,1.8) --(1,1.8);
\draw [black] (0,1.8) arc [radius=1.8, start angle=90, end angle = 270];
\node at (1.15,-0.15) [] {$\sigma$};
\draw [fill] [<-] (0.65,1.1)--(1.5,1.5);
\end{tikzpicture}


I would appreciate if anyone could help me draw the direction arrows and is it possible to include text in the graph? \documentclass[tikz, border=3mm]{standalone}
\usetikzlibrary{decorations.markings}

\begin{document}

\begin{tikzpicture}[scale=0.5,
decoration = {markings,
mark=at position 0.10 with {\arrow {latex}},
mark=at position 0.35 with {\arrow {latex}},
mark=at position 0.70 with {\arrow {latex}},
mark=at position 0.90 with {\arrow {latex}}
}
]
% axes
\draw [->] (0,-3.3) -- (0,4) node [left]  {${\rm Im}(p)$};
\draw [->] (-3.3,0) -- (4,0) node [below] {${\rm Re}(p)$};
% poles
\foreach \i in {-2,-1, 1, 2}{\node at (1,\i) {$\times$};}
% curve
\draw[postaction={decorate},thick]
(2,0) node[below right] {$\sigma$}
|- (0,3) arc (90:270:3) -| (2,0);
\draw[<-,shorten <=2mm] (1,2)-- ++ (30:1.5) node[right] {poles};
\end{tikzpicture}
\end{document}


gives Arrows on curve around s-plane are determined by decorations.markings TikZ library.