Yes you can fly that route because flying to lax i the only option to get to ppt on skyteam, and i know it because i done it before but you cant make a stopover then you have to fly within the 24 hours to sel.It is the same with syd/akl if you wanna include those the only option is KE so you always have to fly back to sel.Just a note i dont know when you wanna make your tip because if you gonna use star there wont be a LAX-PPT anymore from april with because NZ is gonna stop that route then.