Respecting the question; not really its Greek Food. Note the use of olive oil is prevalent in most dishes, however is typically NOT heated which would convert it to trans fats. Perhaps that's why history of heart disease is low amongst the Greek population?

Talked to them and they said everything is halal except pork.

Sorry you will have to line up like everyone else....

It's better to make a reservation.

You'd have to contact the restaurant directly for reservations, they may not see it right away on here.

You can ask for a box yes

Likely

There's street parking. If you're fortunate to snatch a free spot, there are a few parking spaces at the back of the restaurant.