If you are going to use a shortcode like you are, then you don't want to do anything in your PHP files.
All that you need to do is add that shortcode to your home pages content in the admin area. Shortcodes are meant to be used from inside the content of a page, post, etc, so that you don't have to make any changes to the sites files.
If you do have to edit the PHP files (I would really hope not...) then it's a bit more complicated, but can still be done. The first thing that you have to do is search your site to find out what function that shortcode is registered to. There will be a function that looks like
add_shortcode( 'pricing_wpress, 'function_name' );
When you find that, the part where I have 'function_name' will be the function that the shortcode calls. When you find that you can call it from your PHP file by doing something like this;
<?php echo function_name (array ("id" => 4, "style" => 1)); ?>
Of course that might not be the right variables, but that's what I'd asusme they are from your post before.