I'm not entirely sure what you would like the result to look like. I assume one of the two images but which?
Here is a start using the offset option of fancyhdr:
\documentclass[a4paper]{article}
\usepackage{marginnote,calc,kantlipsum}
\usepackage{fancyhdr}
\usepackage{geometry}
\geometry{%
left=37.5mm,
right=12.5mm,
top=25mm,
bottom=25mm,
bindingoffset=0mm,
headheight=30pt,% output from geometry tells you what this needs to be set to as a minimum
}
\newlength{\myoddoffset}
\setlength{\myoddoffset}{\marginparwidth + \marginparsep}
\pagestyle{fancy}
\fancyheadoffset[leh,roh]{\marginparsep}
\fancyheadoffset[loh,reh]{\myoddoffset}
\lhead{\Huge \bfseries Title1}% Don't use \bf it is a LaTeX 2.09 command, long deprecated
\rhead{\Large \bfseries Title2}
\begin{document}
\noindent Some text here.Some text here.Some text here.
\reversemarginpar\marginpar{\raggedleft {\large \bfseries Subtitle} \\*[-.8pc]}
\\Some text here.Some text here.Some text here.
\kant[1-20]
\end{document}

If you add the twoside option to geometry, you'll get something like this:

Update
This undoes the changes to the right offset. (You don't need to set it to zero - you just have to not change it as I did initially based on the images you posted.)
It also sets up a separate style for the first page which is applied at the beginning of the document using \thispagestyle{}. If you want no heading there, just use plain or empty rather than fancyfirst depending on whether you want a page number in the footer or not. In that case, you can dispense with the complexity introduced by defining two fancy styles.
\documentclass[a4paper]{article}
\usepackage{marginnote,calc,kantlipsum}
\usepackage{fancyhdr}
\usepackage{geometry}
\geometry{%
left=37.5mm,
right=12.5mm,
top=25mm,
bottom=25mm,
bindingoffset=0mm,
headheight=30pt,% output from geometry tells you what this needs to be set to as a minimum
}
\newlength{\myoddoffset}
\setlength{\myoddoffset}{\marginparwidth + \marginparsep}
\fancypagestyle{fancyfirst}{%
\lhead{\Huge \bfseries Title1}% Don't use \bf it is a LaTeX 2.09 command, long deprecated
\rhead{\Large \bfseries Title2}%
\fancyheadoffset{0pt}}
\fancypagestyle{fancyoffset}{%
\fancyheadoffset[loh,reh]{\myoddoffset}%
\lhead{\Huge \bfseries Title1}% Don't use \bf it is a LaTeX 2.09 command, long deprecated
\rhead{\Large \bfseries Title2}}
\pagestyle{fancyoffset}
\begin{document}
\thispagestyle{fancyfirst}
\noindent Some text here.Some text here.Some text here.
\reversemarginpar\marginpar{\raggedleft {\large \bfseries Subtitle} \\*[-.8pc]}
\\Some text here.Some text here.Some text here.
\kant[1-20]
\end{document}

marvosym? Surely most of your preamble is irrelevant. – cfr Sep 12 '14 at 20:57geometryback, though, as that will help people in this particular case. – cfr Sep 12 '14 at 21:36