The 2005-06 (and other) boats came with a single bilge pump, that was inside the cabin, with a small sump, and a hole from the cockpit thru the aft cabin bulkhead to allow water to flow into this pump, when the boat was in the water--this being the low place in the boat when afloat. The boats came with the only bilge pump switch at the helm station.
The second bilge pump aft is an option--often put in by the owner or some shop--so they may be wired any which way.
It sounds in your boat that the switch on the console was used for something else, or deactivated, but double check. Normally I would (and did in my 2006 22) put a second switch in the cockpit for that aft bilge pump, so I could use it when under way. I had no float switch on that pump.
As Harvey noted most pumps which come with a float switch have 3 positions--that is manual, auto (float) and off. There should be a "manual" switch or position for that aft pump (if there isn't then one needs to be put in. The most common cause of bilge pump failure are the crimp connections to the wire going to the pump. There are 2 or 3 butt connectors (end to end)--one on the ground, one on the manual, and one to the float--and then the float to the plus going to the pump. If the fuse is OK--then start looking at the crimp fittings. There are two ways to seal them--one is to use put in new crimps, then liquid tape into each end of the crimped fittings (unless there is adhesive shrink tubing already on the connector--and this is the best). Then adhesive heat shrink needs to be put over the entire butt connector, plus the wires coming in and going out of the connector--heat and seal. Some folks will put a silicone grease in the butt connector before they make the crimp to help prevent corrosion.
So: check for fuse, account for all fuses, label each fuse with what it controls. If fuses are OK, check all of the wires, looking for loose connection or corrosion. Use a volt meter to check to be sure you are getting close to 12. 6 volts or more. Finally check the butt connectors all along the line, If there is any question take the one nearest the pump loose, (cut it out) and run jumper wire from the battery to the wires to the pump--that will immediately show you if the pump is good or not. Finally replace butt connectors, properly heat shrink protected.