Is fat repositioning necessary with a lower blepharoplasty to fix my eyebags? (Photo)

Hello, this is a follow up to my previous question thank you for your answers. Based on the answers, I seem to be a good candidate for a lower transconjuctival blepharoplasty to remove the fat under my eyes. My main goal is to remove the puffiness and to reduce the red swollen appearance . I also have hollowing caused by my negative vector which makes me have tear trough lines. Do I have to get fat repositioning under my eyes or is a lower bleph alone enough to reach my goals? Thank you again.