Home button not working

No that didn't work either

is the onclick firing at all?
To double check that try putting an alert in there so that you know that something is firing.
So put onclick='javascript:alert("this is the onclick");'

Is the page two levels deep in your site?  What if you used "/index.html" instead of "../../index.html"?

How about just this:

<a href="/">Home</a>

You can style that link if you want to.

It did work just had to work the syntax error.
echo "<div id='home'><FORM><INPUT TYPE='button' VALUE='HOME' onClick=window.location='../../index.html'></FORM></div>";