Text wrapping around figures with cutwin and itemize for long body text

community,

I would like to wrap text around images using cutwin in itemize with long body texts. I got three problems:

1. The linespacing (initial setup onehalfspacing) shrinks largely (see attached picture).
2. When text of the first adjustbox is long, the second adjustbox jumps to next page (see attached picture).
3. Adjustbox overlaps the headers.

Could you please help me to fix them? Thank you.

Below is my code

documentclass[11pt]{article}

usepackage[a4paper,margin=2.25cm,headsep=8pt, headheight=2cm]{geometry}

usepackage{lipsum}
usepackage[english]{babel}
usepackage{blindtext}
% For wrapping text around text
usepackage{cutwin}
usepackage{enumitem} % Itemize
usepackage[calc]{adjustbox}
usepackage{graphicx}
usepackage{threeparttable}%
setlength{parskip}{baselineskip}

% Spacing
usepackage{setspace}
onehalfspacing

% Caption
usepackage{caption}
captionsetup[figure]{font=small,labelfont={bf},name={Fig.},labelsep=period}


% header and page
usepackage{fancyhdr}
pagestyle{fancy}
fancyhf{}
lhead{Left header}
chead{}
rhead{textit{Right heaader}}

lfoot{}
cfoot{thepage  of 2}
rfoot{}
setlength{headsep}{0.5cm}


begin{document}

% Part 1
% The first figure
opencutright 
renewcommandwindowpagestuff{% setup the image to be placed in the cutout 
    begin{flushright}
    begin{measuredfigure}
    includegraphics[width=0.80linewidth]{example-image-a.png}
    captionof{figure}{Caption of Fig. 1 here.}
    end{measuredfigure}
    end{flushright}
}

% Text of Part 1
begin{adjustbox}{valign=b,vspace=0bp,minipage={1.0linewidth}}
    begin{itemize}[leftmargin=*,wide = 0pt]
        begin{cutout}{3}{0.6linewidth}{0pt}{9}
        itemtextbf{Elastic instability and ideal strength of nano-metals:}
        Blindtext[1][4] 
        end{cutout}
    end{itemize}
end{adjustbox}


% Part 2 
% The figure for Part 2
opencutleft
renewcommandwindowpagestuff{% 
    begin{measuredfigure}
     includegraphics[width=0.80linewidth]{example-image-b.png}
    captionof{figure}{Caption of Fig. 2 here.}
    end{measuredfigure}
}

% Text for Part 2
begin{adjustbox}{valign=C,vspace=0bp,minipage={1.0linewidth}}
    begin{itemize}[leftmargin=*,wide = 0pt]
        begin{cutout}{3}{0pt}{0.6linewidth}{9}
        item textbf{Nano-materials with abnormal properties:}
        Blindtext[1][4]
        end{cutout}
    end{itemize}
end{adjustbox}

end{document}