All sounds normal water has a way of getting everywhere. leave your livewell drain open until you get to lake then close it will keep water out. Auto bilge pump works off relay that sends power to float switch only when float switch activates pump will you hear the pump. No water in bilge no pump. The trim tab is used to nutralize torque and is a feel thing that makes steering easier but with hydrolic steering there is no torque in the steering so for you anyway so I would say if it bothers you move it. You need to read about all the parts of your boat and know how and why they work lots of lit out there for ya lots of web sites for the parts of your boat. Examples are Faria Guages.Rule pumps Sea Star hydrolic steering not sure about all the different products on your boat but learn them all and how they work.
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Who ever said nothing in life is impossible.
Never tried slamming a revolving door.