Thanks for helping with these:
The Shops have a Quick Stock Option with numerous options, like adding the items to the shop, to your vault, or donating them.
There's the Autopricer. You need a Gold Account to gain access to it though but then it's part of your Shop Options as well.
No.
There's the Empty Aquarium that you can fill with bagged fish (for example Bagged Betta) from the Fishing Game however it only stays a Minion (in case of the Bagged Betta it's called Aquarium Betta then) so it's not really a big site feature or something.
In order to Quick Stock, you must first create a shop.
The Autopricer is once per day, and only works for items less than 5MsP
There is an aquarium in Delphi, but it was part of an old site event and nowadays it's read only to look at. There's no reason you couldn't code a petpage to look like an aquarium and paste in images as you get the minions.