Jay,
Had to respond here. Your "shore power" must be grounded. Otherwise, all your ac on board will be ungrounded whether it is properly wired or not. Then you want a GFCI device. In fact, by code, your outdoor receptacle is supposed to be GFCI protected...but you should have one on board anyway. This can save your life. Cheap insurance. Your charger should have a "bonding" lug on the outside of the case which is supposed to tie into your DC ground system. The point of this is to provide a path to the shore power ground (which you don't have) to protect swimmers from stray electrical currents when you are plugged in to the shore power at a marina.
Rusty
Had to respond here. Your "shore power" must be grounded. Otherwise, all your ac on board will be ungrounded whether it is properly wired or not. Then you want a GFCI device. In fact, by code, your outdoor receptacle is supposed to be GFCI protected...but you should have one on board anyway. This can save your life. Cheap insurance. Your charger should have a "bonding" lug on the outside of the case which is supposed to tie into your DC ground system. The point of this is to provide a path to the shore power ground (which you don't have) to protect swimmers from stray electrical currents when you are plugged in to the shore power at a marina.
Rusty