Jonathan Hoenig is an oculoplastic surgeon in LA who is well known for his ability to correct botched blephs and fat transfers - you might look into him.
This is just my opinion, so take it for what it's worth...
You already have naturally full lips that in my opinion, don't need any augmentation. The pictures that you posted of the lips that you like look very fake and distorted to me - they look like they've been injected.
You didn't have a TCA peel. The SensiPeel is manufactured by a company called PCA (easily confused for "TCA). The PCA SensiPeel is nowhere close to a TCA peel in terms of how deep it goes.
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