Hehe you got the right guy to ask here ;>
The 2H axe is like the ancient 2H sword, but 5% better : 35% HP, 35% range/melee block. It looks like a big BBQ tool.
The 2H sword is purely 1vs1 one weapon. I'm not 100% sure because I can't check right now in game, but it should be 40% crit rate, 20% adoch, 10% attack.
It looks like Cloud Strife's first sword xD.