You say when you empty the tank on false indication you do not get as much water for a full tank.
The sensor may have some paper stuck to it and as water enters tank this paper gets wet to set off the sensor.
I'd get some tank cleaner when your tank gets near full and dump in and drive the coach over a wash board road to swish the water around tank and see if you can dislodge that way.
You can check level of tank by looking down toilet bowl opening, thats if it a straight short into tank.
The tank cleaner inlet if you have one may not be spraying the sensor in that area of tank.
The thunk you heard was the tank sidewalls expanding from water pressure, you may have had a RV movie experience if it went up the vent tube.