You pretty much got the right idea for a quick punish off of a light confirm, though I personally like to end the target combo with Light Raida since it robs the opponent of their back recovery, which is great for meaty setups.
Not knowing the EX.kunai setups is fine for now, but a good starting point is to learn the combos you can do from it, also just using it on block is very good since your left plus enough to dash up and continue your pressure.
Standing Light kick is a very important normal due to its range. Basically one of your main counterpoking tool in the neutral and is another quick punish option since you can cancel into Raida and Kazekiri.
Forward Heavy Kick is good to use in the neutral too since it has goes airborne, so it can avoid most low hitting moves and it also has a bit of projectile invincibility so it can avoid projectiles
Fun fact about her overhead, if you hit it after her Mp-Frd.Mk target combo it has more hit advantage than just using regular overhead, so you combo into her St.Mk-Cr.Hk target combo for a knockdown setup.
I’m sure there’s more I missed, but I just wanted to give you few things to play with
Edit: Here a helpful video to get you started. Tried to find one that went over how Ibuki is in Season 2.5 since she’s very different from her Season 1 version