You're right on what some of the major problems are but, there are no SAR teams on Everest. Your SAR team is the expedition outfit you signed up with. Many are

You're right on what some of the major problems are but, there are no SAR teams on Everest. Your SAR team is the expedition outfit you signed up with. Many are under-manned and under-equipped but even the best ones won't be able to facilitate a rescue much of the time (due to weather, altitude and manpower issues). The climbers all know this. Many of the bigger outfits do co-operate on rescues where they can, but aside from that there is no official rescue organization.