Answer:
The problems encountered by Apollo 13's crew were the loss of two of the oxygen tanks, a power shortage due to damaged fuel cells, and a damaged Service Module. These issues caused the astronauts to have to switch to the Lunar Module for power and life support, and to abandon the mission. The crew had to think quickly and come up with a plan to make it back to Earth safely.
Questions they might have asked in order to get a better understanding of the problem they were facing include:
1. What are the exact issues we are facing with the oxygen tanks, fuel cells, and Service Module?
2. What resources do we have to work with to solve these issues?
3. What is the best way to conserve power and resources to make sure we can make it back to Earth safely?
4. How much time do we have to come up with a solution?
5. Are there any risks associated with our proposed solutions?
6. Are there any backup plans or contingencies in place in case our initial attempts fail?