Developed "line" under chin will chin lipo help? (photos)

There are non invasive options: CoolSculpt, ThermiSmooth RF sessions. Minimally invasive options: KyBella injection sessions. Invasive options: Lipo under chin. Or a combination of these options 9best way). Seek in person opinions from MDs whom can offer you all three. 

 Hi, I have performed many facial shaping procedures, including Chin Augmentation with dermal fillers or silastic chin implants, for over 30 years.  From the photos, your chin is very weak resulting in early formation of a "double chin".  When the chin is weak, this creates an imbalance making the nose appear larger, the mid face top heavy, the lower face looks short, de-emphasizes the lips and allows early formation of a "double chin".  
 Proper placement of a silastic chin implant adds forward projection to the chin thereby creating harmony and balance to the lower face.  Using the same incision, liposuction can be performed to reduce the fat and further shape the neck.  Excess skin, from below the chin, can also be removed through the same incision.  
 I have found that placement of a silastic chin implant, through a small curved incision under the chin (also allows excess skin removal) to be very safe, quick, highly effective and far less invasive than a sliding genioplasty (requires extensive tissue dissection, bone cuts and placement of metal screws and plates to secure the cut segments of bone).  I perform chin implant surgery in 30 minutes or less, often using a local anesthetic alone.  In my opinion, you are a good candidate for chin implant surgery.  In contrast, removing the slight amount of excess fat alone (by any method) will not provide the forward chin projection needed to correct the weak chin that a chin implant will provide.
Hope this helps