The OP is only experiencing one of the 4 symptoms. The engine also did not throw a code. He needs to bring it to a guy that knows Hondas and not depend on an Internet forum to diagnose it.
I think your first guess was closer fuel pump. I also think the alternator and battery should be checked from the get go before digging deeper.
I took it to a highly referred guy/small shop that specializes in Japanese vehicles for diagnosis. Hopefully should know more by next week.
