ok as a fellow aggressive haku i can help you some. with my own experiences vs good hazamas.
you were fighting the match up correctly : Zoning until you can get in. barrier, get 1 step closer.
heres what i saw that lead to your loss.
1) no mix ups, dude as an agrro haku who was sitting on 5 stars you can turn that match so far in your favor. mix up with renka or TK tsubaki 2147C.
if TK tsubaki lands go 5C enma combo or 2B gurren combo.
2) waaaay too many grabs he was grabbed so much he was conditioned into expecting them. so that option became almost useless after the 1st few times.
no overhead? i mean yeah 6B is ok to make ppl guard high so you can go for a renka (because it hits low) into a combo but dont hesitate to use it because you can D cancel it or leave it alone, once he gets hit by the D cancel enough he most likely wont try to punish it anymore.
3) you poked good job but you did nothing off of it. also about that constsant IADing into his chains, dude when you have a barrier dont IAD unless they whiff a move, just move in slowly. ppl expect haku to IAD when he has a barrier.
4) spacing, oi i saw too much getting near him or behind him and doing nothing but jumping back. dont GIVE hazama distance, close it the distance slowly.
5) i saw you get hit be ol' hazamas invincible DP while you left the barrier. inside the barrier id use 6C to eat 2 of his primers 3 if you are fast enough while IN the barrier at that range.
6) too much IADing in general, that hazama started jDing at every chance knowing you would jump.
7) hazamas command grab is only good at very close distance. try pressuring with hakumen 2A at max "2A" distance. you'll gain stars and he cant do much.
also control you urge to jump.
8) vs hazamas jayoku in the air Barrier in the super flash and watch his meter. if you are pressuring him and he has meter expect a jayoku so be prepared for it.
you are not as aggressive as you may think, you are but you share a similar trait with another haku friend of mine in this forum he conserves too many stars and does nothing with it. you are more agile, and defensive. also never enma in block strings. either mix up with renka <---- mostly guarded against due to it being a low or zantetsu or tsubaki they are both highs and are usually least expected. grab less, more overheads, pressure with 2A, remain at a close and safe distance, and IAD when its safe not when you can.
oh and mind yorself an aggresive hakus play style is probably the most dangerous so do be careful.