tl;dr - Yes, this is a super-easy matchup if you and the Tsubaki player are both good, but that isn't the case here. :^) You need to improve on a lot of basic gameplay first...
General:
#0 - Learn your punishes. There is more damaging stuff you can do off a throw, but why are you punishing with a regular throw in the first place? You're Tager! :^) 360B, Gadget does more damage than all that junk even without an ASledge in-between, and isn't burstable. Her DPs and shield rush are easily punishable as well.
#0.5 - Learn your combos, too. At least practice enough so you don't screw up the ones used regularly off easy starters like a throw or CH Elbow. Some of that was pretty large damage and situational advantage you missed out on. (^.^)
#0.55 - Like Heroic says, block more. A lot more. Stop trying to just do something at neutral situations until you know what you want to do. There are a lot of normal throw whiffs and a lot of you getting counterhit for no reason, heh.
Matchup:
#1 - There is no reason to use BSledge to try to get close in this matchup. She doesn't have anything she'll use from far away that's a projectile! (People do this to other melee chars like Litchi and Tao too, and I don't really understand it.) Remove that from your repertoire completely and you will improve immediately.
#1.5 - There is one use for Sledge - if you smell a DP or Super coming (after a Gadget, for example, or on wakeup) you can Sledge it and completely destroy her. Do ASledge in this situation until they stop, getting CH DP'd once doesn't cost you much health.
#2 - Why are you impatiently trying to get in, especially by air? Elbow will get you killed, her 2B (or is that 2C? Doesn't matter, the wing one) is one of the best antiairs in the game.
#2.5 - If she's waiting around at full screen, charge that Spark...let her get her levels - it doesn't matter, really. You can beat her out of any rushdown she tries. If you get the opportunity, don't start moving in (by walking) until you have that Spark.
#2.75 - Yes, she can space the unblockable so you can't 360A her, but you can always backdash it pretty easily if you are ready to, which at least gets you a small retaliation plus making her waste the level.