Try adding a name attribute to the form input:
<form action="" method="GET" data-ronsor-url="http://web-search.tk">
<input id="q" name="q">
<input type="submit" value="search">
</form>
I am not quite sure what are you trying to achieve but if you set the action attr = http://web-search.tk it performs the search at http://web-search.tk website.
You might be depending on some js if you wish to perform the search at your website, but again I'm not quite sure what's yor goal!
Good luck, hope it helps