My answers based on my tire rules. These are mine, you are welcome to have your own opinion.
#1. No you do not adjust tire pressures when hot. (rule A)
#2. 10,000 feet to sea level would be a 10psi change. If you had set tire pressures at 10k you would want to inflate the tire an extra 10psi before you left. However as long as tire pressures never went below the psi required for the weight on your tires, you are fine. (rule B)
#3. If you do not rest during all that time, and tire pressures were set in 50 degree air, you are fine. If you do rest see rule D of tires.
Rules of tires.
A. Only adjust tire pressures on a cold tire.
B. If a tire has less air than in needs at any point in time, adjust the air to its proper psi. This is not considered adjusting.
C. PSI is a function of load and tire design. Understand your weight and the load carrying vs PSI settings of your tires.
D. Always check and adjust tire pressure at the start of driving.
E. A slightly over pressure tire is much safer than a slightly under pressure tire.
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