I'll break down the match by you with rounds from my perspective at least, just giving constructive criticism.
Round round 1
At the very beginning at :39, hold back to guard(or just stance still and do neutral guard) because Kazuya players who are in the green level would like to anticipate that you're going to either go forward or sidestep to strike them. Despite the character they're fighting. The options against kazuyas mid are to either parry with Jin or counter attack after blocking it.
0:42 - When doing the 1,2,3, combo. There is a very small delay where the leg will rise up and come down slowly. When Kazuya punished you with a crouching Jab. He prevented you from advancing forward so you can start pressuring him.
0:45 - hellsweeps(F,n,df/4) Since you're fighting an area with no wall's you're actually more safe. You gotta get into the habit on not trying to press the 1 button too much. I say this is because moves like that will often cause you to get punished when trying to sideroll. So, when he does a hellsweep when you're lying on the ground it'll push you away from him and you'll be able to get up quickly by pressing u.
0:51- good SS, one of the most proper punishers. Although you are able to launch them. The problem is that you won't be able to land a hit on them properly because of the angle they are in the air.
0:58 - transitioning from a small run to ultimate tackle is a good tactic on his part, but can easily be punished with an U/4(options for the U/4...you can actually do U/f 4 to make it go closer or U/b 4 for further back) Although at that range where he's able to tackle he'll be punished easily.
Overall for round 1
You guarded against most of his hell sweeps, and you punished him when he gotten to reckless. You should incorporate more throws because once you make him mad he will become very reckless. Small fundamental errors, but you'll be alright. Just work on being patient when laying on the ground and remember that you have plenty of options when to get up and how to get up.
Round 2
1:11 - Good call on the Suigetsu strike(D/F+1+2) It should teach him to not to strike you immediately. After you perform the move you tried to do FF,2(demon paw) to push him back. The reason why it turned to F,2 is because the input you did was too early. You have to wait at least 1-1.5 seconds then input when Kazuya's legs start to fall back down for the push back. The other option is F,4 but using the most damaging move for the finisher is a basic fundamental that every one does.
1:18 : Another good call on punishing him. Some tekken players need to know the range of the input commands they do(pointing out kazuya)
1:52-2:08 the mix ups that he was doing made him predictable. Especially throwing out the lows. You broke out of his grabs constantly which caused him to panic a little bit because he wanted to end switch out. Good job on not letting it happen.
Round 3
2:12: The hellsweep got to you and he also made you think he was going to do it the second time, but he switched to dragon uppercut
which is a mid. Remember the options for kazuya are 1(mid) 2 and 3(high) and 4(low) Although advance players would incorperate WS options to which are all mids for kazuya.
Round 4
You pretty much caught onto his style and punish him with the D/b 4 which is a good tool for those who use lows too much.
Overall - At the very beginning you started out a little bit shaky, but during the rest of the rounds you were able to adapt quite well. Just make sure to utilize every option that is at your hands. Good luck with your matches in the future man.