Right now there is just a bare bulb poking out of the ceiling that covers the porch. The socket is controlled with a very short pull chain. It looks like someone had a lightweight paper shade taped up over the bulb, but that couldn't have lasted long in rainy weather.
Yes - the ideal would be a lantern type fixture placed about two feet from either side of the door. That would set the outdoor fixtures equidistant from the windows on both sides of the door. It would add another bit of symmetry to the front of the house, which is a bit of a hodge podge at the moment.
The best hardware finish would be silver to match with the greys and mauves of the paint and trim. Black outdoor wall lantern