But you won't die of hypoxia or hypothermia while falling as skydivers don't jump from cruising altitude, and even if you did you wouldn't be there for long enough to pass out, you cover about 10000 feet per minute at terminal velocity and cruising altitude for a plane is roughly 35000 feet

Within 60 seconds you would be at a low enough altitude to breathe just fine and 2-3 minutes later you will be on the ground

Solar wind and gravity will eventually clear all the debris, ring systems aren't around for very long on a cosmological time scale