This plugin allow you to set the minimum weight per order .It will show an error message if the weight is less that the define
This section describes how to install the plugin and get it working.
1.Upload the entire woo-commerce-min-weight Plugin folder to the /wp-content/plugins/ directory.
2.Activate the plugin through the Plugins menu in WordPress.
3.You will find Woo-commerce-Min-weight menu in your WordPress admin panel.
No it will not work for the minimum quantity it will only work for weight.