Hello,

1. By default it has GMT timezone. You can connect it to your WordPress settings timezone by adding the following code to the functions.php file in the child theme

add_filter( 'woodmart_wp_timezone_element', '__return_true' );

2. You need to create a variable product with variations. Here is a video tutorial that will help you create variable products with variations swatches and add AJAX filters for them https://www.youtube.com/watch?v=TITlJ6Zg0so&index=2&list=PLMw6W4rAaOgKKv0oexGHzpWBg1imvrval

Regards