Bring the rice and water to a boil in a pot. Season with 1 tablespoon lemon pepper and 1/2 tablespoon dill weed. Reduce heat to low, cover, and simmer 20 minutes.
Heat 1 tablespoon oil in a skillet over medium heat. Place salmon in the skillet, and cook 20 minutes, turning once, until lightly browned and easily flaked with a fork. Set aside.
Season the tomato slices with remaining lemon pepper and dill. Place the eggs and flour in 2 separate dishes. Dip each tomato slice in the egg to coat, then press in the flour, coating both sides.
Heat remaining oil in the skillet over medium-high heat. Place tomato slices in the skillet, and cook 5 minutes on each side, until lightly browned. Serve salmon over the cooked rice, and top with fried tomatoes.