I think I teched the very first grab you attempted. It wasn't that I predicted you would grab or it was wrong to try to grab me, but that setup screams "I'm going for a grab reset now". In that situation, where the opponent techs your first grab, that's the reason they're teching it. Next time, if the opponent techs the first grab, do a delayed j.lk, j.hk instead. Basic hit/grab mixup.
As far as getting c.hp blocked (I don't remember it happening, but I guess it did) you can be safe by using runstop or by calling assist+lp lnl or assist and then Diamond Drop. I usually go into c.hk if I see my c.mp is blocked cause it hits low, though that's not a true blockstring.
Other than that, if your gameplan is to parry everything with Big Band, try to dashjump at me first. There were a lot of situations where your Big Band was at fullscreen and you just let me fireball you to death (you do still take chip when you parry, after all). Another option could be parrying in the air, then doing j.hk to land and roll towards me. Big Band doesn't want to be fullscreen. You could have also tried to ebrake through my fireballs (when they weren't backed by lnl) to close the gap.
I don't think I punished it very much, but you were autopiloting your defense very often. If I was in the air you held back and if I was on the ground you crouchblocked. It got you hit by a couple shadows and command grabs that you might have been able to avoid by having a more fluid defense. For example, you rarely ever chicken blocked anything to try to get out of pressure.
Your pokes could use some reinforcing, as well. You very rarely Titan Knuckled or c.hk'd me as Bella, and I don't think I saw a c.hk or a lp brass from Band at all. Additionally, when I'm close to you, with that assist comp you can do Battle Butt+assist and be virtually safe from everything. I don't remember what Bella assist you had, but you get a lot more chances to giant step, mp brass, and cymbals when you use hp lnl. I'm fairly certain c.hk/c.hp, assist, brass is usable, and I'm pretty sure you can do c.hk, assist, lk/mk a-train mixup if you're a bit closer. Oh, wait, you had Excellebella assist. I would recommend hp lnl over excellebella since you already have mk a train when Band is the point.
That's all I really remember from the set. If you feel like you've improved on any of the things that happened in that set and want to test yourself, or if you just wanna play, feel free to hmu for another set.