18. In the spring of 1972, Western was serving only two cities in Alaska. One of them was Anchorage. What was the other destination?

Anchorage for sure. As to the other, I'm going to say Ketchikan but suspect you might have chosen this question because service was still out at Annette Island or Metlakatla or some such. I flew through the new airport at KTN in 1977 but am not sure when it opened. I do know WA was operating 720Bs into Annette Island.

24. In the summer of 1982 this airline was operating direct service from Grand Cayman (GCM) to Detroit (DTW) six days a week with two stops being made en route. Identify the air carrier, the two stops and the aircraft.

This sure sounds like Republic, operating over the old Southern Airways authority into GCM. Aircraft was likely a DC-9-50 routing GCM-MIA-MEM-DTW