Even when you're on the ship, do not trust the app for anything. I've seen missing activities. I've seen activities that don't exist. The menus are often wrong. I find the app is only useful for checking my shipboard account.
You can get as much lobster as you want in Luminae. You can also order the preparations from Blu (on ships with a shared kitchen) and MDR if you prefer them.
Not logical in the days of computers. It's not like they need any manual intervention to send blast emails. They could easily send them all out at once if they wanted to.