Nope, planes shouldn't attack GVs or structures at the base.
Maybe in the future I will try a combined ops aspect. Ships shelling, shore guns responding, fighters contesting the air over head so that jabos can attack structures and GVs and stuff. But right now one step at a time. If the Amphibous assault works smoothly then I will see about adding more stuff options to it and maybe do a D-Day event in October with a massive Amphibous landing and combined ops portion of the battle.