Try raising the arm on the float switch to see if the pump runs, and it should. If it doesn't, then I think some troubleshooting is in order.
The pump switch is typically held down with two screws (don't know about this particular model). One screw through a hole in the base of the switch and the other through a slot in the base. Remove the screw through the hole and just loosen the other screw and the switch can be removed.
Also, the pump will have a way to remove it from it's base which is screwed to the bottom of the bilge. Go on-line to find installation instructions for the pump about how to remove it, or maybe quicker, look around the sides of the pump for some "buttons" to press to remove it. Then one can check for any debris that could be blocking it's update.
Since the wires/conductors are laying in the bilge there could be some corrosion causing a problem. If water has got past the insulation, such as where the connectors are, the wires will typically show signs of stiffness where they were submerged. Above that point they should be flexible. FWIW: This is also a good way to detect if a boat may have been partially submerged, and by how much.