Toilet paper. I carry half a roll (it's light) in ziploc (does no good when wet).
Some thin but strong cord that could serve as replacement laces or just to bind two things together, about six feet of it. Maybe thin perlon, maybe kevlar cord.
Let's say 100 miles. Likelihood of seeing a car is probably 5-10 a day total or less. No gas station, no easy access to get somewhere busier. If the phone works, no promises there, it might take your friends all day to drive in.
You found Shangri-La? Sounds heavenly.