Mix lemon juice, olive oil, and melted butter in a shallow bowl. Set aside
In another shallow bowl, mix all-purpose flour, spices, salt and pepper. Set next to the lemon juice mixture.
Pat fish fillet dry. Dip fish in the lemon juice mixture then dip in the flour mixture. Shake off excess flour. Reserve the lemon juice mixture for later.
Heat 2 tbsp olive oil in a cast iron skillet over medium-high heat (watch the oil to be sure it is shimmering but not smoking). Add fish and sear on each side to give it some color, but do not fully cook (about a couple minutes on each side) Remove from heat.
To the remaining lemon juice mixture, add the minced garlic and mix. Drizzle all over the fish fillets.
Bake in the heated oven for until it begins to flake easily with a fork (10 minutes should do it, but begin checking earlier). Remove from heat and sprinkle chopped parsley. Serve immediately.
Prepare Eggplant (optional) Place the sliced eggplant on a large tray and sprinkle generously with salt. Let it sit for 30 minutes (the eggplant will "sweat out" its bitterness as it sits.) Now line another large tray or baking sheet with a paper bag topped with paper towel and place it near the stove.
Cook Eggplant (optional). Pat the eggplant dry. Heat 4 to 5 tbsp extra virgin olive oil over medium/medium-high heat until shimmering but not smoking. Fry the eggplant in the oil in batches (do this carefully and do not crowd the skillet). When the eggplant slices turn golden brown on one side, turn over and fry on the other side. Remove the eggplant slices with a slotted spatula and arrange them on the paper towel-lined tray to drain and cool.
Once cooled, assemble the eggplant on a serving dish. Sprinkle with 1 tbsp of Za'atar.
Prepare chickpea salad. In a medium mixing bowl, combine the tomatoes, cucumbers, chickpeas, red onions, parsley and dill. Add the remaining Za'atar, and mix gently.
Prepare the dressing. In a small bowl, whisk together the dressing. Drizzle 2 tbsp of the salad dressing over the fried eggplant; pour the remaining dressing over the chickpea salad and mix.
Add the chickpea salad to the serving dish with the eggplant.