Regard to the Autosort function

Hi, I am trying to create a school ranking listing page. I wonder if this is the plugin I am looking for. I am thinking to order the school post type by menu_order. However, it can be trouble if one school ranking is updated. Say, from 10th to 2nd. then nth 3,4,5,6,7,8,9th schools have to be +1 manually so the updated 10th school can be ordered in the 2nd position.

#Q1 Is this plugin going to assign a number for the menu_order field. and when a user drag the post reordering it. The all the post menu_order numbers will be updated, is it correct for the Autosort function?

#Q2 Can we display the menu_order on the admin column, so when managing 300+ school posts, it can be easier to location say the 208th post. and drag it to the updated ranking position.

Thanks