I really need to learn the range of 8T. Round 4 was terrifying.
I must get better! But this guy beat me easily the first time we fought, so I'm glad I won a round, let alone the match.
Cool, finally we got some more videos here
Ok, I'd like to tell you a couple of things that I think you should try to improve:
The thing you always should keep in mind is, that you are playing our adorable Phase 4. Since she's one of the most unsafe characters in the game, literally 98% of your moves that will be blocked by your opponent will leave you at disadvantage. That means, if you still attack right after it and use a slower attack as your opponent does, you will get stunned. So either use a fast attack (like her jab) or a crush (like her 2P or 33P) after something. However, you are better off just blocking as long as you don't play offline against someone who's going to throw punish everything (more solid players will do that even online). I highly recommend to check again what her safe moves are (in the general discussion thread) and learning how to fuzzy guard.
Right at start of the first round, you are using 4P, which is one of the slowest moves she has and therefore not the best idea. You should use her jabs, K, 6P or 2P instead. Bayman is slower as you in general (remember, you have the fastest punch in the game), so you are better of taking advantage out of this.
You are already making good usage of her mixup opportunities out of teleports, as well as her critical burst which is hard to react to due to being so fast. Still try to mix up your game even more by using her launchers (8K, 33K, 33P, 9K threshold), because in 60% of your offensive moments, you were going for a critical burst. Do that to a more solid Bayman player and Phase will end up having all her graceful limbs broken by painful advanced holds. Same goes for attempts to land a rare power blow. Good players will hold that on reaction or hit you before you've charged it.
You tend to press buttons as soon as you get up after a tech roll. In some cases, you'll be at disadvantage if the opponent has grounded you, so you would get counter-hit quite a lot if you are doing that too often. Doing a tech-roll is good in general, however, if you notice that your opponent is not going for immediate force-tech, you can stay on the ground too waiting what he's doing. If he's just wildly throwing out some attacks, you can go for a wakeup-kick to get offensive momentum back, since you are invulnerable to normal attacks while lying on the ground.
Note that doing a wakeup kick is not recommended when he's just standing right in front of you doing nothing, because that means he's almost waiting for holding your wakeup-kick with a chance of 50% success (like at 1:19).
You use her 7P to get some space between you and your opponent very fast. This is a very good idea, though you should also think about what to do with that space. In most cases, you were just standing there, not even blocking and just waiting for him to come in. Watch out for characters like Hayate and Hayabusa, who can teleport right in you face (or behind you) as well as characters with long range attacks like Kasumi or Phase with their 3P+K P. If you're not blocking or moving then, you'll make it easy for them to hit you. Next thing you should consider is, that you can't just stand there waiting for him to come if you don't have the life lead and there is a counter running down. If I have the life lead, I can turtle 24/7 in a corner until the round is over, waiting for you to come in with something unsafe like 66PP or 66K, therefore, this is something you should take care of since Phase is not a beast in opening turtles and passive players.
Trying to use her long range grabs like 8T and 3P+K T is also good, just be careful with them and don't use them too much. Please no worries, altogether, it wasn't a terrible performance and a good comeback indeed, so I hope you don't get scared off because of my wall of text here. You neither mash nor play without having kind of a plan, which means you already have the best preconditions to become a solid Phase 4 player. I'm looking forward to see more from you soon, keep it up!