Liposuction will contour your back and sides nicely but worsen the abdomen. You do not need BBL. You have significant stretch marks which will not respond to liposuction but will do so to a tummy tuck.
The posted photos do not show your buttocks because you have panties on! I think it is a personal decision of your alone. You might need hip dip fat placed or a Lateral Hip Dip BBL. I adjust my fees to lipo 360 only $5,000 vs Lipo 360/BBL $6,000. Best to virtual consult with....