Looks like the Horn Relay, but it is a little fuzzy (out of focus). All of your car's power (except for the actual starter motor's current: which has it's own separate relay switch and cables to feed it on top of the starter motor). If the points inside were burnt (which happens) you wouldn't get any power to the car, not just some power on some circuits.
As mentioned above I would disassemble the front wiring harness junction block from where it is bolted to the car's cabin wiring harness at the fuse block. I would then clean all of the blade terminals with a tooth brush or a brass wire brush and some electrical contact cleaner before spraying it with WD-40 to protect it from further corrosion.