Adding on to John's recommendation since he had not been, I recently had breakfast at the Plaza and oh my, I definitely recommend it! First of all, the restaurant itself is beautiful, quaint and small. The large windows make breakfast a great meal there since the lighting is stunning PLUS you get to eat with a great view of the castle and the hub area!
The food was amazing and with varied options to please different tastes while not breaking the bank. While on the pricier side, the Lobster Eggs Benedict was amazing, they use fried green tomatoes instead of the muffin and it adds a great flavor and crunch. It looked so creative and delicious that my entire party ordered the same dish. Would definitely order again!
Edited to add: Because it is so small, they do not take walk-ins so I definitely recommend making a reservation ahead of time!
Thanks so much for the info, it really sounds up my street and both me and my better half love Lobster so it is really tempting.