The Flotation mod allows the plane to land on water, they'll need it. Or else it will think straight to the bottom of the sea, ballast tanks or no ballast tanks

. At that point, they can probably sail around if they really want to, that's just running the propellers low enough that the plane stays on the water. Same for landmobile, presumably the place has some wheels to make it easier to move around on the ground, so as long as you are on a nice flat surface, you can drive around.
There is no modification in the rules to make a plane able to move underwater, so I guess you would have to use Amphibious as a model. I don't see the (presumably) internal combustion engines normally propelling the plane as practical underwater, so I would say go for the level 2 Amphibious as a model, adding some batteries, and electrical motor and a propeller designed for water...