I don't play Ryu in DOA6, so take my comments with a grain of salt, but you're pressing a lot of buttons when you shouldn't be. Remember that 6PK4 is unsafe at -9, 4H+K is now -13 and 214P is -7. You followed a KND with dash into 4H+K which is unsafe, slow, non-tracking and has no crush properties. Pretty much any button Zack pressed there was going to beat you out.
Free Step Dodge
Brute
Brute
Outside of lag, Hayabusa's pressure options are terrible. He's relatively slow, extremely unsafe and has very little string variety/delays to keep people on their toes. Remember that seasoned players will hold 6KP on reaction every single time, and with both 214P and 4H+K having their viability in neutral undercut substantially in tandem with the oki reworks...
Brute
...I really think Hayabusa is only going to work with a reactive/defensive playstyle, because he simply can't aggressively open people up if they are patient and astute. That or just lag like a mother-fucker and spam teleports and heabutts. That's what most Ryu players are doing in DOA6.
The_King_Edo
What tools do you think I should be using the most then?