I think you'll find the link to the home page on the subsequent pages is changing colour because its now become a 'visited' link
To control the colours of your hyperlinks you will need to use a stylesheet to force your requirments on the <A tags
something like this
<style>
A:link {color: Blue; Text-decoration: underline; }
A:visited {color: Blue; Text-decoration: underline; }
A:active {color: Red; Text-decoration: underline; }
A:hover {color: Red; Text-decoration: underline; }
</style>