Your order list should be relatively easy to implement. If you store your promise/target time as an ISO 8601 date either as a ticket state or as a ticket tag you will be able to sort based on that ticket state/tag.
Here’s a couple posts to get you started for the ticket lister:
Your other requirement is doable, I believe, but would be a bit of work for someone to build especially if you’re looking to limit the ability to order pizzas if the count is over for a specific time.