Assuming you actually know and eat Middle Eastern food, if not just politely bow out as it will be a disaster if you don't know what the food should look and taste like.
Make a list of all the Middle Eastern foods you like, put down as many as you can, more is better.
After each dish then list the technique required to cook it.
Go back over the list and put a single line through those that you couldn't do due to equipment constraints.
Then go back over the list and put a single line through those that you wouldn't personally cook because they are too much of a PITA.
You should have far fewer choices now.
Pick four or five that would go together well but have some variation - ie. don't pick 5 curries, or 5 shish.
Try and make sure that they don't all use the same cooking technique or you will be creating a 'bottle-neck' in the kitchen.
Try to make sure that you have at least one veg dish, one carb heavy, two protein heavy and something served cold or hot depending on the weather. ie. a soup or a salad... don't need both but sometimes that can work.
If you provide more details you will get much more specific information.
ie. the number you serve per day; amount of prep time and budget constraints? You serve only lunch I'm guessing? Being a public place are you 'peanut' free? Any limits on prep-ahead? Do you have access to chafers or hot pots? Do you have a mandate to provide x number of choices? Limits on ingredient costs per plate? What kind of skills does the chef and/or kitchen staff have? Is this going to be in addition to the regular menu or is it replacing it for the day?
Honestly there are a hundred other questions that need to be answered before anyone can 'give' you a menu.
Especially Middle Eastern... that is a pretty big area.