More then easily the main barrier is political!
Carriers that have fixed wing aircraft on them are for power projection and Japan is rather sensitive about the idea. Japan has refuelling tankers and the F-15 has plenty of range in its own right so more then capable of ranging over various disputed Islands. Greater question is does Japan have any interest over the Spratleys? If they do then a carrier becomes a more justifiable asset, considering they are buying F-35A a later purchase of the B or even the C if they so fancy.
The Japanese understands that they must take rearmament very slowing. As a matter of fact the current fleet of Air Capable Ships is a good example. First, they started with Helicopter Equipped Amphibious Ships. Then a slightly larger Helicopter Destroyers. Which, is being followed by an even larger Helicopter Destroyer. Which, is a Light Carrier in everything but name.
My guess is Japan will purchase a small number of F-35B’s to be operated from the latter. Then maybe a true Carrier after that. Clearly, Japan has a plan……