luatex and using both English and Arabic bibliography with natbib

Question

I am using luatex with the following example:

\documentclass[article, 11pt, b6paper, landscape, oneside]{memoir}

\usepackage{natbib}
\usepackage{arabluatex}
\usepackage[nopar]{quran}
\usepackage{lineno}
\usepackage{fontspec}

\begin{document}

This is to cite an English reference which is \cite{Abumostafa1993HintsVC}; and this is to cite the Arabic reference which is \txarb{\cite{MyKey}}. As you see, the Arabic in-text citation is messed up and the bibliography section cannot catch the bib info.

\clearpage

\bibliographystyle{asa}
\bibliography{tmp}

\end{document}

My bib file is:

@Article{Abumostafa1993HintsVC,
  author =   {Abumostafa, Y S},
  title =    {{Hints and the Vc Dimension}},
  journal =  {Neural Computation},
  year =     1993,
  volume =   5,
  number =   2,
  pages =    {278-288},
  isbn =     {0899-7667}
}

@Article{MyKey,
  author =   {المؤلف},
  title =    {العنوان},
  journal =  {المجلة},
  year =     2000,
  volume =   5,
  number =   2,
  pages =    {278-288},
  isbn =     {0899-7667}
}

I have never been successful in to produce a good pdf in the case that my bib file has both English and Arabic bib items.

I am using emacs and auctex, which uses by default bibtex. I have Archlinux and use texlive.

EDIT: After trying using biblatex and biber (per the advice of the comments below):

    \documentclass[]{article}

\usepackage[autostyle]{csquotes}

\usepackage[
    backend=biber,
    style=authoryear-icomp,
    sortlocale=de_DE,
    natbib=true,
    url=false, 
    doi=true,
    eprint=false
    ]{biblatex}

\addbibresource{tmp.bib}

\usepackage[]{hyperref}
\hypersetup{
    colorlinks=true,
}

%% ##############################
\begin{document}
Lorem ipsum dolor sit amet~\citep{Abumostafa1993HintsVC}.
    At vero eos et accusam et justo duo dolores et ea rebum~\citet{MyKey}.
    \printbibliography 
\end{document}

this is the result (not appropriate of course):

EDIT: When I ran biber from the shell, it gave me this error messages:

[0] Config.pm:302> INFO - This is Biber 2.9
[0] Config.pm:305> INFO - Logfile is 'tmp.tex.blg'
[49] biber:313> INFO - === Wed Dec 13, 2017, 12:44:00
[127] Utils.pm:185> ERROR - Cannot find control file 'tmp.tex.bcf'! - did you pass the "backend=biber" option to BibLaTeX?
[127] Biber.pm:114> INFO - ERRORS: 1

EDIT: I tried after adding the fontspec and arabluatex and compiling with emacs after clean all. The code is:

\documentclass[article, 11pt, b6paper, landscape, oneside]{memoir}
\usepackage{arabluatex}
\usepackage[nopar]{quran}
\usepackage{lineno}
\usepackage{fontspec}
\usepackage[autostyle]{csquotes}
\usepackage[
    backend=biber,
    style=authoryear-icomp,
    sortlocale=de_DE,
    url=false,
    doi=true,
    eprint=false
    ]{biblatex}
\addbibresource{tmp.bib}

\begin{document}
This is to cite an English reference which is \cite{Abumostafa1993HintsVC}; and this is to cite the Arabic reference which is \cite{MyKey}.

\printbibliography
\end{document}

%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:

However, it compiled and generated the pdf but without the Arabic name of the author in both the in-text citation and bibliography. The output is:

Answer 1

I would strongly advice to use biblatex and biber instead of natbib and bibtex. That said, with arabluatex \txarb{} is only to be used with unicode Arabic script as its argument: this is why \txarb{\cite{somekey}} cannot work. Instead, you have to put \txarb{} in your .bib file at the appropriate places, like so:

@Article{Abumostafa1993HintsVC,
  author =   {Abumostafa, Y S},
  title =    {{Hints and the Vc Dimension}},
  journal =  {Neural Computation},
  year =     1993,
  volume =   5,
  number =   2,
  pages =    {278-288},
  isbn =     {0899-7667}
}

@Article{MyKey,
  author =   {\txarb{المؤلف}},
  title =    {\txarb{العنوان}},
  journal =  {\txarb{المجلة}},
  year =     2000,
  volume =   5,
  number =   2,
  pages =    {278-288},
  isbn =     {0899-7667}
}

As to your .tex file:

\documentclass[article, 11pt, b6paper, landscape, oneside]{memoir}

\usepackage{fontspec}

\usepackage{arabluatex}
\usepackage[nopar]{quran}
\usepackage{lineno}

\usepackage[style=authoryear]{biblatex}
\addbibresource{tmp.bib}

\begin{document}

This is to cite an English reference which is
\textcite{Abumostafa1993HintsVC}; and this is to cite the Arabic
reference which is \textcite{MyKey}. As you see, the Arabic in-text
citation is messed up and the bibliography section cannot catch the
bib info.

\clearpage

\printbibliography

\end{document}

Which gives this result: