Search Form Problems

Hi WordPress friends,

I’ve worked on my site a while and here’s the result.
https://www.fiddeandersson.se/

I have problem to get the search function to work.
The search button in the header.php i’m using this code:

<div id="search">
   			<form method="get" id="searchform" action="<?php bloginfo('url'); ?>/">
   			<label class="hidden" for="s"><?php _e(''); ?></label>
   			<input type="text" value="<?php the_search_query(); ?>" name="s" id="s" size="30" />
   			<input type="submit" id="searchsubmit" value="SEARCH" /> </form>
   		</div>

For the searchform.php i use this code:

<?php
/*
Template Name: Search
*/
?>

<?php get_header(); ?>

<?php
global $query_string;

$query_args = explode("&", $query_string);
$search_query = array();

foreach($query_args as $key => $string) {
	$query_split = explode("=", $string);
	$search_query[$query_split[0]] = $query_split[1];
} // foreach

$search = new WP_Query($search_query);
?>

<div id="content">

<h2>S?kresultat</h2>

	<?php global $wp_query; $total_results = $wp_query->found_posts; ?>

</div>

<?php get_footer(); ?>

I have tried to read the docs about this but i don’t get it to work.
Does someone have another good tutorial that i can use to create a search function?

Best regards
Fidde