Watched about 5 mins of it, its too late for me to give a full Crit of it (as in its like nearly 4am rather than the post is too late lol) so a few things I noticed…
A LOT of random jumping and neutral jumping which I’m not sure of the reason for? You are way better off staying on the ground and using her ground game against Hawk, jumping a lot can be punished not too difficulty by Hawk. Also so much random jumping is a bad habit
No blockstring or pressure, I know its Hawk but you have to be pro-active at keeping him honest and making him feel like he can’t just dictate the pace of the fight.
A lot of HSU… You know this isn’t really very safe on block against grapplers right? When I say a lot I mean a LOT of HSU’s, I have no idea why he never punished you for it (well for the fights I watched he didn’t and he could)
Decent AA-ing and Air to Air counters, trades always suck for Chun but you have to do it lol
If you hadn’t been random jumping at much I’m pretty sure you would have been in a better position to punish his mistakes with actual damage rather than just pokes, also a few times you landed hits from the jumps and didn’t combo… Instead I think you probably did HSU 
don’t jump in at Hawk or Gief with lk… unless its hella deep he recovers from blockstun fast enough to punish it with SPD, you did this a few times and its bad…
If you block a dive don’t miss your ultra
you have plenty of time to ready it, do it literally just before he lands, also without ultra blocked dives can be cr.fierce xx legs if you stand block it and dash
Did you have a gameplan for the fight? What was it you were trying to gain from the way you approached the fight and the jumping, HSU and none pressure strategy. Its important to go into a fight with a plan you can stick to for one fight then see what adjustments you need to make. Not having a clear idea of your goals for the fight makes the following matches harder to make adjustments for…
I wish I could find the energy to be more helpful but sadly I can not, I hope this helps in some way 