I've made a great progress yesterday!
My friend has noticed that the wall
with the door is only attached by 3 screws on the right side.
Although they were screwed in from the inside we were able to unscrew them through opening under the sink and behind the mirror, and remove the wall without cutting it.
That required cutting the caulk on top and removing the toilet, but wasn't nearly as difficult as I've dreaded.
Here is the picture of the removed wall:
I've replaced two hoses that are attached to the top:
and have a reasonably good access to the two hoses that are on the bottom:
.
I'm also considering removing the tank with the bottom hose attached and doing the replacement outside of the boat to avoid risk of spillage.