Yes Aruba drives the same as the U.S. there are no traffic lights though just roundabouts!
No you do not need a power adapter coming from the U.S. the outlets are the same!
Yes to travel to Aruba from the U.S. you will need your passport
Local grocery stores that have many of the items sold in the states. Most common ones are Super Food Plaza and Do It Center
Nope! All places take U.S. dollars as payment you do not need to exchange money and you can use credit and debit cards in most places.
Brooklyn is gluten free, dairy free and egg free and has found plenty of allergy friendly stores and restaurants around the island! Please ask if you need any help with this