Concerning the fonts, it's easy to use any font known to the system if you compile with XeLaTeX or LuaLaTeX.
For the other questions, LaTeX is not a drawing program. Some LaTeX packages or companion programs have graphic capabilities, some very impressive like
pstricks, but rather in the scientific domain. They all have a programming language and you must write a program in that language.
I don't know well
metapost, but you can find information and links how it works on the Wikipedia page about it. On this site you will find a lot of examples of what can be done with
TikZ. Numerous examples of what can be done with
pstricks can be found on the PSTricks home page. Many Asymptote examples are here.
You also can use a drawing sofware and include your drawings with the
graphicx package, simply writing in your document:
The extension of a graphic file has to be
.eps if you compile with LaTeX;
png with pdfLaTeX. If pdfLaTeX is launched with the
--enable-write18 (MiKTeX) or
.ps image files will be converted on the fly to the .pdf format byepstopdf` and included in the resulting .pdf.
Many, many thanks to cfr for helping me to improve this answer.