Add quotes around some reference titles

Question

In the following book sample, I'm using the natbib package to generate the bibliography with a specific style as described in this page. However, some reference titles—such as of articles (and other reference types)—are generated without quotes. Therefore, I was wondering how to add quotes around these reference titles—excluding that of books (which should remain italicized without quotes).

I checked the solution of @AlanMunn here, but I would rather—as a Windows user—not to manipulate any external file. Besides, the biblatex solution of @JoeCorneli (2nd answer) did not work in the sense that it did not generate any bibliography section at all.

Thanks for any suggestion you could provide.

\documentclass[12pt]{extbook}
\pagestyle{myheadings}
\usepackage{setspace}
\onehalfspacing
\usepackage{hyperref}
\hypersetup{hidelinks}
\usepackage{pgfornament}
\usepackage{lipsum}
\usepackage{natbib}
\title{Book Title}
\author{Author}
\date{}
\newcommand\institute{
    Department \par \medskip
    University \par
    City, State}
\begin{document}
\frontmatter

\begin{titlepage}
    \makeatletter
    \centering
    {\LARGE\bfseries\baselineskip1.25em\@title\par} \par
    \vfill
    {\large\bfseries\@author} \par
    \@date
    \makeatother
    \vfill
    \pgfornament[width=.35\linewidth]{84} \bigskip \par
    \institute
\end{titlepage}

% Empty page
\phantom{}
\pagebreak

% Dedication
\vspace*{\fill}
\begingroup
\centering
\lipsum[1-1]
\endgroup
\vspace*{\fill}

\chapter{Preface}  
\lipsum[2-3]

\tableofcontents
\addcontentsline{toc}{chapter}{Contents}

\chapter{Introduction}
\lipsum[4-6]

\mainmatter

\chapter{Title 1}
\lipsum[5-9]
\citep{Karmarkar:84}

\chapter{Title 2}
\lipsum[10-14]

\backmatter     
\bibliographystyle{abbrvnat}        
\bibliography{references.bib}
\addcontentsline{toc}{chapter}{Bibliography}


\end{document}

---

EDIT (1)

In light of @AlanMunn comments below, the biblatex solution needs to be compiled with biber, which explains why it did not work for me in the first place. However, the generated reference style is not similar to the desired abbrvnat style here; please see the figure below.

---

EDIT (2)

In light of @cfr comments below, I'm adding the contents of a separate bibtex file—reference.bib—that includes the reference entries.

@article{Karmarkar:84,
    author = {Karmarkar, Narendra},
    title = {{A New Polynomial-Time Algorithm for Linear Programming}},
    journal = {Combinatorica},
    year = {1984},
    volume = {4},
    number = {4},
    pages = {373-395}
}