新しくオープンしたフードコートには、もう行かれましたか？って英語でなんて言うの？

"Yet" is the way to talk about whether or not you have done something. I hope that this helps :)

In the UK, a delicatessen is a shop selling cooked meats, cheeses, and unusual or foreign prepared foods. If you mean a place selling fresh bread, cakes or pastries, then it would usually be referred to as a baker's. It depends exactly what the food outlet is selling!

To 'check' something out is to go and have a look and maybe try what they have to offer in the different food stores.

In the first example try is used. In this instance try means to test the effect or result of something. Second example uses visit. Visit meaning to go to a place

The first sentence is very direct. It asks someone if they have eaten at the new food court. In my second sentence, I use the verb form of try and ask if somone has "tried" the new food court. In my last sentence, I ask if you have given the new food court "a try". This is the noun form of try and can be read as "a chance".

When you want to ask someone if they have been to the new food court in the mall you work in, then you may ask in the following ways: -Have you already been to the new food court? -I was wondering if you've been to the new food court in the mall?

"checked it out" refers to visiting or seeing something. In this case, "checking out" the new food court will imply that you have been to it. "Are you aware of our new facility?" is not as direct, and is a great way to spark interest with people.