what purpose would that transducer serve? i have a fish finder with the transducer mounted on the external rear
Old thru-hull transducer for a fish finder or depth sounder. Don't worry about since you have a fish finder.
Check for voltage at the switch for the live well aerator. If you have voltage, pop the pump cartridge out of the base and check for debris jamming the impeller. No voltage, look for a fuse.
What is the 4th pic with the circle and arrow?