I couldn't find any Osprey Military History books on the Battle of Hakata Bay, which is where a Mongol expeditionary force made landfall in Japan and fought a small pitched battle before withdrawing back to the sea. Nevertheless, I'd look through some books on Japanese or East Asian military history for a description of the battle. It's interesting.
As for Korea invading Japan, I can't think of anything, really, but there were the two expeditions under Hideyoshi, like the Imjin War/Bunroku Campaign, that you might want to look up.