Thanks for checking it out. I learn a lot from watching other people play the game (what to improve).
Unfortunately I didn't have time to implement button config for the demo, but X-Input controllers (Xbox) should give you a better experience.
On performing special moves, hold either up or down and press any attack button. This works in the air as well.
You can enhance these moves with one EX pip (Yello pips in hud) by holding down the attack button when inputting the move.
The move you referred to as a parry is actually a Roman Cancel (if your familiar with Guilty Gear), but it's use is very limited. I'm definitely going to change it to be a parry :D