APA-based bibliography and citation style

Question

I would like to change the bibliography and citation style to this APA-based style:

Books: Menger, C. (1982). Grundsätze der Volkswirtschaftslehre. Wenen: Braumüller.

Websites: Nakamoto, S. (2009). Bitcoin: A Peer-to-Peer Electronic Cash System. Geraadpleegd op 16-02-2015, http://bitcoin.org/bitcoin.pdf

Spoken: Casares, W. (2014). Getting to a Billion Bitcoin Users, Bitcoin2014 congres. If title is empty, then like Shrem, C. (2014), Webwinkel Vakdagen.

For all three categories: if no year is given, put (z.d.) instead of the year.

\documentclass[a4paper,dutch]{report}
\usepackage[scaled=.90]{helvet}
\usepackage{courier, csquotes, babel, url}
\usepackage[backend=bibtex,style=apa,citestyle=verbose-ibid,bibstyle=numeric,sorting=nty,defernumbers=true]{biblatex}
\def\UrlBreaks{\do\/\do-}

\addbibresource{main.bib} 

\usepackage{chngcntr}
\counterwithout{footnote}{chapter}
\let\footcite\footfullcite

\usepackage{xpatch}
\xpatchbibmacro{url+urldate}
  {\usebibmacro{urldate}}
  {\ifcitation{}{\usebibmacro{urldate}}}
  {}
  {}
\renewcommand{\newunitpunct}{\addcomma\addspace}


\DeclareBibliographyCategory{websites}
\DeclareBibliographyCategory{spoken}
\DeclareBibliographyCategory{books}

\AtEveryCitekey{%
  \ifentrytype{misc}{%
    \iffieldundef{howpublished}{%
      \addtocategory{websites}{\thefield{entrykey}}%
    }{%
      \addtocategory{spoken}{\thefield{entrykey}}%
    }%
  }{%
  }%
}

\AtEveryCitekey{%
  \ifentrytype{book}{%
      \addtocategory{books}{\thefield{entrykey}}%
  }{}%
}

\begin{document}

\footcite{menger1} \footcite{shrem3} \footcite{guardian3} \footcite{paper1}

\cleardoublepage
\phantomsection
\addcontentsline{toc}{chapter}{Literatuurlijst}

\chapter*{Literatuurlijst}
\section*{Boeken}

\begingroup
\let\clearpage\relax
\sloppy
\printbibliography[category=books,heading=none]
\endgroup

\section*{Online artikelen}
\begingroup
\let\clearpage\relax
\sloppy
\printbibliography[category=websites,heading=none]
\endgroup

\section*{Conferenties}
\begingroup
\let\clearpage\relax
\sloppy
\printbibliography[category=spoken,heading=none]
\endgroup


\end{document} 

main.bib file:

%books
@book{menger1,
  author = {Menger, C.},
  title = {Grunds{\"a}tze der Volkswirtschaftslehre},
  publisher = {Braum{\"u}ller},
  pubcity = {Wenen},
  year = {1982} 
}

%spoken
@misc{shrem3,
  author = "Shrem, C.",
  title = "",
  month = jan,
  year = "2014",
  howpublished = "Webwinkel Vakdagen"
}

@misc{wences1,
  author = "Casares, W.",
  title = "Getting to a Billion Bitcoin Users",
  month = may,
  year = "2014",
  howpublished = "Bitcoin2014 congres"
}

%websites
@misc{guardian3,
  author = {The Guardian},
  title = {Cyprus banks remain closed to prevent run on deposits},
  url = "http://www.theguardian.com/world/2013/mar/26/cyprus-banks-closed-prevent-run-deposits",
  year = "2010",
  urldate = "2014-11-15"
}

@misc{paper1,
  author = {Nakamoto, S.},
  title = {Bitcoin: A Peer-to-Peer Electronic Cash System},
  url = "http://bitcoin.org/bitcoin.pdf",
  year = "2009",
  urldate = "2015-02-16"
}

Answer 1

Yo are using biblatex-apa, which requires biber since version 4.5. That means, that you have to run biber instead of bibtex (or use latexmk or arara to automate the buid process).

If I understood you correctly, you want to turn off sentence case, this can be done with:

\DeclareFieldFormat{apacase}{#1}

In order to set the language to dutch you have to set the language mapping accordingly:

\DeclareLanguageMapping{dutch}{dutch-apa}

Now "g.d." is printed, when no date is given. You can change that to "z.d." if you want to by redefining the nodate-string:

\DefineBibliographyStrings{dutch}{%
    nodate = {z.d.}
}

You have to modify the stings retrieved and from to obtain the desired result for visited URLs:

\DefineBibliographyStrings{dutch}{%
   retrieved = {geraadpleegd op},
   from = {},
}

Also note, that if you want to use an institution like "The Guardian" as author, you have to put an additional pair of curly brackets around it (or "The" will be interpreted as a first name):

author = {{The Guardian}}

Putting it all together (and leaving some ornamental code out) will look like this:

\documentclass[a4paper]{report}
\usepackage[dutch]{babel}
\usepackage{csquotes, url}
\usepackage[backend=biber,
            citestyle=verbose-ibid,
            urldate=short,
            style=apa]{biblatex}

\DeclareLanguageMapping{dutch}{dutch-apa}
\NewBibliographyString{retrieved}
\NewBibliographyString{from}
\DefineBibliographyStrings{dutch}{%
   nodate = {z.d.},
   retrieved = {geraadpleegd op},
   from = {},
}

\DeclareFieldFormat{apacase}{#1}

\DeclareBibliographyCategory{websites}
\DeclareBibliographyCategory{spoken}
\DeclareBibliographyCategory{books}

\AtEveryCitekey{%
  \ifentrytype{misc}{%
    \iffieldundef{howpublished}{%
      \addtocategory{websites}{\thefield{entrykey}}%
    }{%
      \addtocategory{spoken}{\thefield{entrykey}}%
    }%
  }{%
  }%
}

\AtEveryCitekey{%
  \ifentrytype{book}{%
      \addtocategory{books}{\thefield{entrykey}}%
  }{}%
}
\let\footcite\footfullcite

% --- adding the bibliography

\begin{filecontents}{main.bib}
   %books
   @book{menger1,
     author = {Menger, C.},
     title = {Grunds{\"a}tze der Volkswirtschaftslehre},
     publisher = {Braum{\"u}ller},
     location = {Wenen},
     year = {1982}
   }
   %spoken
   @misc{shrem3,
     author = "Shrem, C.",
     month = jan,
     year = "2014",
     howpublished = "Webwinkel Vakdagen"
   }

   @misc{wences1,
     author = "Casares, W.",
     title = "Getting to a Billion Bitcoin Users",
     month = may,
     year = "2014",
     howpublished = "Bitcoin2014 congres"
   }

   %websites
   @misc{guardian3,
     author = {{The Guardian}},
     title = {Cyprus banks remain closed to prevent run on deposits},
     url = "http://www.theguardian.com/world/2013/mar/26/cyprus-banks-closed-prevent-run-deposits",
     year = "2010",
     urldate = "2014-11-15"
   }

   @misc{paper1,
     author = {Nakamoto, S.},
     title = {Bitcoin: A Peer-to-Peer Electronic Cash System},
     url = "http://bitcoin.org/bitcoin.pdf",
     year = "2009",
     urldate = "2015-02-16"
   }
   % nodate variants
   %books
   @book{menger1nd,
     author = {Menger, C.},
     title = {Grunds{\"a}tze der Volkswirtschaftslehre},
     publisher = {Braum{\"u}ller},
     location = {Wenen},
   }
   %spoken
   @misc{shrem3nd,
     author = "Shrem, C.",
     title = "",
     month = jan,
     howpublished = "Webwinkel Vakdagen"
   }
   @misc{wences1nd,
     author = "Casares, W.",
     title = "Getting to a Billion Bitcoin Users",
     howpublished = "Bitcoin2014 congres"
   }
   %websites
   @misc{guardian3nd,
     author = {{The Guardian}},
     title = {Cyprus banks remain closed to prevent run on deposits},
     url = "http://www.theguardian.com/world/2013/mar/26/cyprus-banks-closed-prevent-run-deposits",
     urldate = "2014-11-15"
   }
   @misc{paper1nd,
     author = {Nakamoto, S.},
     title = {Bitcoin: A Peer-to-Peer Electronic Cash System},
     url = "http://bitcoin.org/bitcoin.pdf",
     urldate = "2015-02-16"
   }
\end{filecontents}

\addbibresource{main.bib}

\begin{document}

   With year:
   a\footcite{menger1} b\footcite{shrem3} c\footcite{guardian3} d\footcite{paper1} e\footcite{wences1}

   Without year:
   a\footcite{menger1nd} b\footcite{shrem3nd} c\footcite{guardian3nd} d\footcite{paper1nd} e\footcite{wences1nd}

   \chapter*{Literatuurlijst}
   \addcontentsline{toc}{chapter}{Literatuurlijst}

   \section*{Boeken}
   \printbibliography[category=books,heading=none]

   \section*{Online artikelen}
   \printbibliography[category=websites,heading=none]

   \section*{Conferenties}
   \printbibliography[category=spoken,heading=none]

\end{document}

And the output: