Creating SVG elements dynamically with javascript inside HTML

Change

var svg   = document.documentElement;

to

var svg = document.createElementNS("http://www.w3.org/2000/svg", "svg");

so that you create a SVG element.

For the link to be an hyperlink, simply add a href attribute :

h.setAttributeNS(null, 'href', 'http://www.google.com');

Demonstration